# Physical Sciences Grade 12 Paper 1 NSC November 2022 Memo

> Grade 12 Physical Sciences Paper 1 memorandum from the NSC November Exam 2022, 32 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/physical-sciences-p1-nov-2022-mg-afr-eng/a434ef56-8d1f-48e0-9980-84b0b1ad1f8b
- Updated: 2026-10-29
- Subject: Physical Sciences
- Grade: Grade 12
- Document type: Memorandum
- Year: 2022
- Exam period: NSC November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 32

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Physical Sciences · Grade 12 · NSC November Exam · 2022. Memorandum. Read online or download the PDF.

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### Page 1

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                                     NATIONAL
                                SENIOR CERTIFICATE
                                    NASIONALE
                                SENIOR SERTIFIKAAT

                                   GRADE/GRAAD 12

                        PHYSICAL SCIENCES: PHYSICS (P1)
                        FISIESE WETENSKAPPE: FISIKA (V1)

                                        NOVEMBER 2022

                     MARKING GUIDELINES/NASIENRIGLYNE

MARKS/PUNTE: 150

                      These marking guidelines consist of 32 pages.
                       Hierdie nasienriglyne bestaan uit 32 bladsye.

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Physical Sciences P1/Fisiese Wetenskappe V1     2                                   DBE/November 2022
                         NSC/NSS – Marking Guidelines/Nasienriglyn

QUESTION 1/VRAAG 1

1.1       B                                                                                              (2)

1.2       D                                                                                              (2)

1.3       A                                                                                              (2)

1.4       D                                                                                              (2)

1.5       B                                                                                              (2)

1.6       C                                                                                              (2)

1.7       C                                                                                              (2)

1.8       A                                                                                              (2)

1.9       C                                                                                              (2)

1.10      D                                                                                               (2)
                                                                                                           [20]

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Physical Sciences P1/Fisiese Wetenskappe V1     3                                   DBE/November 2022
                         NSC/NSS – Marking Guidelines/Nasienriglyn

QUESTION 2/VRAAG 2

2.1        Marking criteria/Nasienkriteria
           If any of the underlined key words/phrases in the correct context is omitted deduct
           1 mark/Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
           konteks uitgelaat is, trek 1 punt af.

           When a resultant/net force acts on an object, the object will accelerate in the
           direction of the force. The acceleration is directly proportional to the
           resultant/net force and inversely proportional to the mass of the object. 
           Wanneer 'n resulterende/netto krag op 'n voorwerp inwerk, sal die voorwerp
           in die rigting van die krag versnel. Die versnelling is direk eweredig aan die
           netto krag en omgekeerd eweredig aan die massa van die voorwerp.

           OR/OF
           The resultant/net force acting on an object is equal to the rate of change of
           momentum of the object. (2 or 0)
           Die resulterende/netto krag wat op 'n voorwerp inwerk is gelyk aan die tempo
           van verandering van momentum. (2 of 0)                                                          (2)

2.2                                                             Accept force diagram/
                                                                Aanvaar kragte-diagram:
                          N                                               N

                f                       T                            f                     T

                          w                                                  w

           Accepted labels/Aanvaarde benoemings
              Fg /Fw /Fearth on P /weight /mg /12,25 N /gravitational force
           w
              Fg /Fw /Faarde op P /gewig /mg /12,25 N /gravitasiekrag
           T FT /Fstring /Ftou /Ft /tension /spanning /Fs
           f Ff /fk /(kinetic) friction /(kinetiese) wrywing /1,8 N /Fw
           N FN /Normal /Fnormal /Fnormaal /Normaal
           Notes/Aantekeninge
            Mark awarded for label and arrow./Punt toegeken vir benoeming en pyltjie.
            Do not penalise for length of arrows since drawing is not to scale./Moenie vir die
              lengte van die pyltjies penaliseer nie aangesien die tekening nie volgens skaal
              is nie.
            Any other additional force(s)/Enige ander addisionele krag(te): Max/Maks 3
                                                                                            4
            If everything correct, but no arrows/Indien alles korrek, maar geen pyltjies:
              Max/Maks 3
                           4
            If force(s) do not make contact with the dot /Indien krag(te) nie met die kolletjie
              kontak maak nie: Max/Maks 3
                                              4                                                            (4)

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Physical Sciences P1/Fisiese Wetenskappe V1     4                                DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

2.3.1      For P/Vir P                                For P/Vir P
           RIGHT AS POSITIVE/                         LEFT AS POSITIVE/
           REGS AS POSITIEF                           LINKS AS POSITIEF
                 Fnet = ma       Any one/                    Fnet = ma       Any one/
               T + f = ma      Enige een                  T + f = ma      Enige een
               T – f = ma                                  -T +f = ma
           T - 1,8 = (1,25)(0,1)                    -T + 1,8 = (1,25)(-0,1) 
                   T = 1,93 N  (1,925 N)                      T = 1,93 N  (1,925 N)                   (4)

2.3.2      POSITIVE MARKING FROM QUESTION 2.3.1/
           POSITIEWE NASIEN VANAF VRAAG 2.3.1.
           RIGHT AS POSITIVE/REGS AS POSITIEF:
           For Q/Vir Q                                             Accept/Aanvaar
                             Fnet = ma                             Sin(90°- θ)
                   Fcosθ - T - f = ma
                  Fcosθ + T + f = ma
           7,5cosθ - 1,93 - 2,2 = (2)(0,1) 
                                θ = 54,74°      (Range:54,55° - 54,78°)
           LEFT AS POSITIVE/LINKS AS POSITIEF:
           For Q/Vir Q
                                                                   Accept/Aanvaar
                                Fnet = ma
                                                                   Sin(90°- θ)
                    -Fcosθ + T + f = ma
                     Fcosθ + T + f = ma
           -7,5cosθ + 1,93 + 2,2 = (2)(- 0,1) 
                                  θ = 54,74°     (Range:54,55° - 54,78°)                                (3)
                                                                                                        [13]

QUESTION 3/VRAAG 3

3.1        Motion under the influence of gravity/weight/gravitational force only. 
           Beweging slegs onder die invloed van gravitasie/gewig/swaartekrag.
           (2 or/of 0)

           OR/OF
           Motion in which the only force acting is gravity/weight/gravitational force.
           Beweging waar die enigste krag wat inwerk, gravitasie/gewig/swaartekrag is.
           (2 or/of 0)                                                                                  (2)

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    Physical Sciences P1/Fisiese Wetenskappe V1     5                                DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

    3.2.1      Marking criteria/Nasienkriteria
                Formula with Δt/Formule met Δt 
                Correct substitution into formula/Korrekte vervanging in formule 
                Final answer/Finale antwoord: 1,22 s       (1,22 s to/tot 1,23 s)
              OPTION 1/OPSIE 1                               OPTION 2/OPSIE 2
              A-B:                                           B-C:
              UPWARDS AS POSITIVE/                           UPWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                           OPWAARTS AS POSITIEF
              vf = vi + aΔt                                   vf = vi + aΔt 
               0 = 12 + (-9,8)Δt                            -12 = 0 + (-9,8)Δt 
              Δt = 1,22 s                                     Δt = 1,22 s 
              DOWNWARDS AS POSITIVE/                         DOWNWARDS AS POSITIVE/
              AFWAARTS AS POSITIEF                           AFWAARTS AS POSITIEF
               vf = vi + aΔt                                 vf = vi + aΔt 
               0 = -12 + (9,8)Δt                            12 = 0 + (9,8)Δt 
              Δt = 1,22 s                                    Δt = 1,22 s 
     B        OPTION 3/OPSIE 3                               OPTION 4/OPSIE 4
              A-C:                                           A-C:
              UPWARDS AS POSITIVE/                           UPWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                           OPWAARTS AS POSITIEF
                  vf = vi + aΔt                              Δy = viΔt + ½aΔt2 
A           C  -12   = 12 + (-9,8)Δt                          0 = (12)Δt + ½(-9,8)Δt2 
                 Δt = 2,45 s                                   Δt = 2,45 s
              Δtup = 1,23 s                                 Δtup = 1,23 s 

              DOWNWARDS AS POSITIVE/                         DOWNWARDS AS POSITIVE/
              AFWAARTS AS POSITIEF                           AFWAARTS AS POSITIEF
                 vf = vi + aΔt                               Δy = viΔt + ½aΔt2 
                12 = -12 + (9,8)Δt                            0 = (-12)Δt + ½(9,8)Δt2 
            G
                 Δt = 2,45 s                                   Δt = 2,45 s
               Δtup = 1,23 s                                Δtup = 1,23 s 

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    Physical Sciences P1/Fisiese Wetenskappe V1     6                                 DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

              OPTION 5/OPSIE 5
      B
              A-B OR/OF B-C:
                         (Emech)Top/Bo = (Emech)25 m
                      (EP + EK)Top/Bo = (EP + EK)25 m
              (mgh + ½mv2)Top/Bo = (mgh + ½mv2)25 m
                           (9,8)h + 0 = 0 + (½)(12)2
A           C
                                   h = 7,35 m
              OPTION 6/OPSIE 6
              A-B OR/OF B-C
              Wnc = K + U
              Wnc = K + mg(hf - hi)
                  0 = ½mvf2 - ½mvi2 + mghf - mghi
                  0 = ½(02 - 122) + (9,8)h
            G h = 7,35 m
              OPTION 7/OPSIE 7
              A-B OR/OF B-C
                             W net = ΔEk
                        wΔycosθ = ½mvf2 - ½mvi2
              (9,8)Δycos180° = 0 - ½(12)2
                                                      UPWARDS AS POSITIVE/
                              Δy = 7,35 m
                                                      OPWAARTS AS POSITIEF
              OPTION 8/OPSIE 8
                                                                  vi + vf
              A-B:                                        ∆y = (          )∆t 
              UPWARDS AS POSITIVE/                                   2
                                                                  12 + 0
              OPWAARTS AS POSITIEF                      7,35 = (          )∆t 
               v2f = v2i + 2aΔy                                       2
               02 = 122 + 2(-9,8)∆y
              ∆y = 7,35 m                                  Δt = 1,23 s 

               DOWNWARDS AS POSITIVE/
               AFWAARTS AS POSITIEF                          DOWNWARDS AS POSITIVE/
                v2f = v2i + 2aΔy                             AFWAARTS AS POSITIEF
                                                                         vi + vf
                02 = (-12)2 + 2(9,8)∆y                            ∆y = (         )∆t 
               ∆y = -7,35 m                                                 2
                                                                         -12 + 0
                                                               -7,35 = (          )∆t 
               OPTION 9/OPSIE 9
               B-C:                                                          2
               UPWARDS AS POSITIVE/
               OPWAARTS AS POSITIEF                                   Δt = 1,23 s 
                    v2f = v2i + 2aΔy
               (-12)2 = 02 + 2(-9,8)∆y
                    ∆y = -7,35 m

               DOWNWARDS AS POSITIVE/
               AFWAARTS AS POSITIEF
                  v2f = v2i + 2aΔy
               (12)2 = 02 + 2(9,8)∆y
                 ∆y = 7,35 m

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    Physical Sciences P1/Fisiese Wetenskappe V1     7                                DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

              OPTION 10/OPSIE 10                             OPTION 11/OPSIE 11
      B       A-B:                                           B-C:
              UPWARDS AS POSITIVE/                           UPWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF:                          OPWAARTS AS POSITIEF:
                     vi + vf                                        vi + vf
              ∆y = (         )∆t                            ∆y = (         )∆t 
                        2                                              2
A           C        12 + 0                                         0 - 12
              ∆y = (         )∆t                             ∆y = (         )∆t
                         2                                             2
              ∆y = 6∆t                                       ∆y = -6∆t

                v2f = v2i + 2aΔy                              v2f = v2i + 2aΔy
                0 = (12)2 + 2(-9,8)(6∆t)                    -12 = (0)2 + 2(-9,8)(-6∆t) 
                ∆t = 1,22 s                                  ∆t = 1,22 s 
            G
                DOWNWARDS AS POSITIVE/                       DOWNWARDS AS POSITIVE/
                AFWAARTS AS POSITIEF:                        AFWAARTS AS POSITIEF:
                       vi + vf                                      vi + vf
                ∆y = (         )∆t                          ∆y = (         )∆t 
                          2                                            2
                        -12 + 0                                     12 + 0
                ∆y = (          )∆t                          ∆y = (         )∆t
                           2                                            2
                ∆y = - 6∆t                                   ∆y = 6∆t

                v2f = v2i + 2aΔy                             v2f = v2i + 2aΔy
                 0 = (-12)2 + 2(9,8)(-6∆t)                  122 = 02 + 2(9,8)(6∆t) 
                ∆t = 1,22 s                                   ∆t = 1,22 s 
                OPTION 12/OPSIE 12
                A-B:
                UPWARDS AS POSITIVE/
                OPWAARTS AS POSITIEF:
                   Fnet∆t = m∆v        Any one/
                   Fnet∆t = m(vf - vi) Enige een
                -(9,8)∆t = 0 – 12 
                       ∆t = 1,22 s 

                DOWNWARDS AS POSITIVE/
                AFWAARTS AS POSITIEF:
                 Fnet∆t = m∆v        Any one/
                 Fnet∆t = m(vf - vi) Enige een
                (9,8)∆t = 12 – 0 
                     ∆t = 1,22 s                                                                           (3)

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    Physical Sciences P1/Fisiese Wetenskappe V1     8                                 DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

    3.2.2      Marking criteria/Nasienkriteria
                Formula with vf./Formule met vf. 
                Correct substitution into formula./Korrekte vervanging in formule. 
                Correct final answer/Korrekte finale antwoord:
                  25,18 m·s-1  (25,03 m·s-1 to/tot 25,59 m·s-1)
                Correct direction (only if numerical value is given)./Korrekte rigting (slegs indien
                  numeriese waarde gegee is).
              OPTION 1/OPSIE 1
              A-G:                                          A-G:
              UPWARDS AS POSITIVE/                          DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF:                         AFWAARTS AS POSITIEF:
              v2f = v2i + 2aΔy                             v2f = v2i + 2aΔy 
              v2f = (12)2 + 2(-9,8)(-25)                   v2f = (-12)2 + 2(9,8)(25) 
              vf = 25,18 m·s-1 downwards                  vf = 25,18 m·s-1 downwards 
                                  afwaarts                                      afwaarts
              OPTION 2/OPSIE 2
     B        C-G:                                          C-G:
              UPWARDS AS POSITIVE/                          DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                          AFWAARTS AS POSITIEF
              v2f = v2i + 2aΔy                             v2f = v2i + 2aΔy 
              v2f = (-12)2 + 2(-9,8)(-25)                  v2f = (12)2 + 2(9,8)(25) 
A           C vf = 25,18 m·s-1 downwards                   vf = 25,18 m·s-1 downwards 
                                   afwaarts                                     afwaarts
              OPTION 3/OPSIE 3
              B-G                                           B-G
              UPWARDS AS POSITIVE/                          DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF                          AFWAARTS AS POSITIEF
              v2f = v2i + 2aΔy                             v2f = v2i + 2aΔy 
            G v2f = (0)2 + 2(-9,8)(-32,35)                 v2f = (0)2 + 2(9,8)(32,35) 
               vf = 25,18 m·s-1 downwards                 vf = 25,18 m·s-1 downwards 
                                   afwaarts                                      afwaarts

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    Physical Sciences P1/Fisiese Wetenskappe V1     9                                DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

               OPTION 4/OPSIE 4
               A-G:
               UPWARDS AS POSITIVE/OPWAARTS AS POSITIEF:
                                            A-G
                                                    vi + vf
                           1                ∆y = (          )∆t 
               Δy = vi Δt + aΔt2                       2
                           2                          12 + vf
                             1              -25 = (           )3,79
               25 = 12Δt + ( 9,8)Δt2                     2
    B                        2
                ∆t = 3,79 s                   vf = - 25,18 m·s-1
                                              vf = 25,18 m·s-1 downwards 
                                                                  afwaarts

                                                           B-G
A        C                                                 vf = vi + aΔt 
                                                           vf = 0 + (-9,8)(3,79 - 1,22) 
                                                           vf = - 25,19 m·s-1
                                                           vf = 25,19 m·s-1 downwards 
                                                                               afwaarts

                                                            C-G
         G                                                  vf = vi + aΔt 
                                                            vf = -12 + (-9,8)(1,35) 
                                                            vf = -25,19 m·s-1
                                                            vf = 25,19 m·s-1 downwards 
                                                                                afwaarts

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    Physical Sciences P1/Fisiese Wetenskappe V1    10                                   DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyn

               A-G:
               DOWNWARDS AS POSITIVE/AFWAARTS AS POSITIEF:
                                           A-G
                                                   vi + vf
                           1               ∆y  = (         )∆t 
               Δy = vi Δt + aΔt2                      2
                           2                        -12 + vf
                             1     2        25 = (           )3,79 
               25 = 12Δt + (9,8)Δt                      2
                             2
                ∆t = 3,79 s                  vf = 25,18 m·s-1 downwards 
                                                                afwaarts

                                                           B-G
                                                           vf = vi + aΔt 
                                                              = 0 + (9,8)(3,79 - 1,22) 
                                                            vf = 25,19 m·s-1 downwards 
                                                                               afwaarts

                                                            C-G
                                                            vf = vi + aΔt 
                                                            vf = 12 + (9,8)(3,79 - 2(1,22)) 
                                                            vf = 25,19 m·s-1 downwards 
                                                                               afwaarts
               OPTION 5/OPSIE 5
               C-G:                                         C-G:
               UPWARDS AS POSITIVE/                         DOWNWARDS AS POSITIVE/
    B          OPWAARTS AS POSITIEF:                        AFWAARTS AS POSITIEF:
                             1                                          1
                Δy = vi Δt + aΔt2                           Δy = vi Δt + aΔt2
                             2                                          2
                               1                                          1
               - 25 = -12Δt + (-9,8)Δt2                     25 = 12Δt + (9,8)Δt2
                               2                                          2
A         C      Δt = 1,34 s                                Δt = 1,34 s

                        vi + vf                                      vi + vf
               ∆y = (             )∆t                      ∆y = (             )∆t 
                           2                                           2
                         -12 + vf                                    12 + vf
               -25 = (              ) 1,34                 25 = (             ) 1,34 
                            2                                            2
                                                                               -1
          G      vf = - 25,18 m·s-1                      vf = 25,18 m·s  downwards 
                                -1
                 vf = 25,18 m·s  downwards                              afwaarts
                                    afwaarts
               OPTION 6/OPSIE 6
                           (Emech/meg)i = (Emech/meg)f
                             (EP +EK)i = (EP +EK)f         Any one/
                                    2                  2    Enige een
                       (mgh + ½mv )i= (mgh + ½mv )f
                                    2               2
               m(9,8)(25) + ½m(12 ) = 0 + ½mvf 
                                    vf = 25,18 m·s-1 downwards/afwaarts 

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    Physical Sciences P1/Fisiese Wetenskappe V1    11                                  DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

               OPTION 7/OPSIE 7
                nc = ΔE + ΔEp
                   = (Ekf - Eki) + (Epf – Epi)            Any one/
                            2            2
                   = (½mvf – ½mvi ) + (mghf -mghi)         Enige een
                            2              2
                0 = [½mvf – ½m(12) ] + [0 - m(9,8)(25)] 
                vf = 25,18 m·s-1 downwards/afwaarts 
               OPTION 8/OPSIE 8
                        net = ΔE
                            = (Ekf - Eki)          Any one/
                                       2
                            = (½mvf – ½mvi )   2    Enige een
                                     2           2
               m(9,8)(25) = ½mvf – ½m(12) 
                        vf = 25,18 m·s-1 downwards/afwaarts                                                (4)
    3.2.3     POSITIVE MARKING FROM QUESTION 3.2.2.
              POSITIEWE NASIEN VANAF VRAAG 3.2.2.
              Marking criteria/Nasienkriteria
               Substitution into formula to calculate v at the top of the door 
                 Vervanging in formule om v bokant die deur te bereken.
               Formula to calculate Δt from top to bottom of door.
                 Formule om Δt te bere en van bo ant tot onder ant van deur.
               Substitution to calculate Δt. 
                 Vervanging om Δt te bereken.
               Final answer/Finale antwoord: 0,07 to/tot 0,08 s 
              OPTION 1/OPSIE 1
              UPWARDS AS POSITIVE/OPWAARTS AS POSITIEF:
      B       A-D:                             D-G:
              v2f = v2i + 2aΔy                     vf = vi + aΔt 
                2        2
              vf = (12) + 2(-9,8)(-23,1)      -25,18 = -24,43 + (-9,8)Δt 
               vf = 24,43 m·s-1                    Δt = 0,08 s 

A      C      C-D:                                                D-G:
                                                                   Δy = viΔt + ½aΔt2 
              v2f = v2i + 2aΔy
                                                                  -1,9 = -24,43Δt + ½(-9,8)Δt2
              v2f = (-12)2 + (2)(-9,8)(-23,1)                      Δt = 0,08 s 
               vf = 24,43 m·s-1
       D
                                                                  D-G:
              D-G:                                                            vi + vf
                     v2f = v2i + 2aΔy                              Δy = (             )∆t
                                                                                 2
      G       (-25,18)2 = (vi)2 + 2(-9,8)(-1,9) 
                      vi = 24,43 m·s-1                                        -24,43 - 25,18
                                                                  -1,9 = (                   ) Δt 
                                                                                    2
              B-D
              v2f = v2i + 2aΔy                                      Δt = 0,08 s 
              v2f = 0 + 2(-9,8)(-30,447) 
                  = 24,43 m∙s-1

              D-G:
                    E(mech top/meg bo) = E(mech bot/meg ond)
                      (Ep + Ek)top/bo = (Ep + Ek)bot/ond
                (mgh + ½mv2)top/bo = (mgh + ½mv2)bot/ond
              m(9,8)(1,9) + ½m(vi)2 = 0 + ½m(25,18)2 
                                    vi = 24,43 m·s-1
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    Physical Sciences P1/Fisiese Wetenskappe V1    12                                   DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

              DOWNWARDS AS POSITIVE/AFWAARTS AS POSITIEF:
       B      A-D:                            D-G:
              v2f = v2i + 2aΔy                    vf = vi + aΔt 
                2         2
              vf = (-12) + 2(9,8)(23,1)      25,18  = 24,43 + (9,8)Δt 
               vi = 24,43 m·s-1                   Δt = 0,08 s 

A       C     C-D:                                                D-G:
                                                                   Δy = viΔt + ½aΔt2 
              v2f = v2i + 2aΔy
                                                                  1,9 = 24,43Δt + ½(9,8)Δt2 
              v2f = (12)2 + (2)(9,8)(23,1)                        Δt = 0,08 s 
               vf = 24,43 m·s-1
        D
                                                                  D-G:
              D-G:                                                            vi + vf
                   v2f = v2i + 2aΔy                                Δy = (             )∆t
                                                                                 2
       G      (25,18)2 = (vi)2 + 2(9,8)(1,9) 
                    vi = 24,43 m·s-1                                        24,43       25,18
                                                                  1,9 = (                       ) Δt 
                                                                                    2
              B-D
                                                                   Δt = 0,08 s 
              v2f = v2i + 2aΔy
              v2f = 0 + 2(9,8)(30,447) 
                  = 24,43 m∙s-1

              D-G:
                    E(mech top/meg bo) = E(mech bot/meg ond)
                      (Ep + Ek)top/bo = (Ep + Ek)bot/ond
                (mgh + ½mv2)top/bo = (mgh + ½mv2)bot/ond
              m(9,8)(1,9) + ½m(vi)2 = 0 + ½m(25,18)2 
                                     vi = 24,43 m·s-1

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    Physical Sciences P1/Fisiese Wetenskappe V1    13                                DBE/November 2022
                                 NSC/NSS – Marking Guidelines/Nasienriglyne

              Marking criteria OPTION 2 and 3/Nasienkriteria OPSIE 2 en 3
               Either one of the formula to calculate Δt./Enige een van die formules om Δt te
                 bereken. 
               Substitute into formula to calculate time from A to G or C to G/Vervanging in
                 formule om tyd te bereken tussen A tot G of C tot G 
               Substitute into formula to calculate time from A to D or C to D/ Vervanging in
                 formule om tyd te bereken tussen A tot D of C tot D 
               Final answer/Finale antwoord: 0,07 s        (0,07s to/tot 0,08s)
        B     OPTION 2/OPSIE 2
              UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF:                       AFWAARTS AS POSITIEF:
              A-G:                                        A-G:
A                  vf = vi + aΔt                               vf = vi + aΔt
         C
              -25,18 = 12 + (-9,8) Δt                     25,18 = -12 + (9,8) Δt
                  Δt = 3,79 s                                  Δt = 3,79 s
                                    Any one/                                          Any one/
                                     Enige een                                           Enige een
              A-D:                                        A-D:
         D                   1                                          1
                Δy = vi Δt + 2 aΔt2                        Δy = vi Δt + 2 aΔt2
              -23,1 = (12)Δt + ½(-9,8)Δt2                23,1 = (-12)Δt + ½(9,8)Δt2
        G        Δt = 3,72 s                                Δt = 3,72 s

              Time from top to bottom of door/Tyd         Time from top to bottom/Tyd van
              van bokant tot onderkant van deur:          bokant tot onderkant van deur:
              D-G:                                        D-G:
              3,79 – 3,72 = 0,07 s                       3,79 – 3,72 = 0,07 s 
              OPTION 3/OPSIE 3
        B     UPWARDS AS POSITIVE/                        DOWNWARDS AS POSITIVE/
              OPWAARTS AS POSITIEF:                       AFWAARTS AS POSITIEF:
              C-G:                                        C-G:
                   vf = vi + aΔt                              vf = vi + aΔt
              -25,18 = -12 + (-9,8) Δt                   25,18 = 12 + (9,8) Δt
A        C        Δt = 1,34 s                                 Δt = 1,34 s
                                      Any one/                                 Any one/
              C-D:                      Enige een         C-D:                    Enige een
                              1                                          1
                  y = vi Δt + 2 aΔt2                      Δy = vi Δt + 2 aΔt2
        D
              -23,1 = (-12)Δt + ½(-9,8)Δt2               23,1 = (12)Δt + ½(9,8)Δt2
                 Δt = 1,27 s                                Δt = 1,27 s
        G
              Time from top to bottom of door/Tyd         Time from top to bottom of door/Tyd
              van bokant tot onderkant van deur:          van bokant tot onderkant van deur:
              D-G:                                        D-G:
              1,34 – 1,27 = 0,07 s                       1,34 – 1,27 = 0,07 s 

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Physical Sciences P1/Fisiese Wetenskappe V1    14                                                  DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

                           OPTION 4/OPSIE 4
                           UPWARDS AS POSITIVE/                           DOWNWARDS AS POSITIVE/
                           OPWAARTS AS POSITIEF:                          AFWAARTS AS POSITIEF:
                           G-D:                                           G-D:
                              Δy = viΔt + ½aΔt2                             Δy = viΔt + ½aΔt2 
                           1,9 = 25,18Δt + ½(-9,8)Δt2                   -1,9 = -25,18Δt + ½(9,8)Δt2 
                              Δt = 0,08 s  (0,077 s)                         Δt = 0,08 s  (0,077 s)                     (4)

3.3                                POSITIVE MARKING FROM QUESTION 3.2.1 AND QUESTION 3.2.2.
                                   POSITIEWE NASIEN VANAF VRAAG 3.2.1 EN VRAAG 3.2.2.
                                   UPWARDS AS POSITIVE/OPWAARTS AS POSITIEF:

       Velocity/Snelheid (m·s-1)
                                               12
                                                        1,22
                                                                     Time/Tyd (s)

                                            -25,18

                                   DOWNWARDS AS POSITIVE/AFWAARTS AS POSITIEF:

                                            25,18

                Velocity/Snelheid (m·s-1)
                                                        1,22
                                                                   Time/Tyd (s)
                                              -12

                                    Criteria for graph/Kriteria vir grafiek
                                    Straight line starting at v = 12 m·s-1 with negtive final velocity or
                                    straight line starting at v = -12 m·s-1 with positive final velocity.
                                                                                                                
                                    /Reguitlyn wat begin by v = 12 m·s-1met negatiewe finale snelheid of
                                    reguitlyn wat begin by v = -12 m·s-1met positiewe finale snelheid.
                                    Straight line cuts time axis at time calculated in Question 3.2.1/
                                                                                                                
                                    Reguitlyn sny tydas by die tyd bereken in Vraag 3.2.1.
                                    Correct final velocity as calculated in Question 3.2.2 is
                                    indicated./Korrekte finale snelheid soos uitgewerk in Vraag 3.2.2 is        
                                    aangedui.                                                                              (3)
                                                                                                                          [16]

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Physical Sciences P1/Fisiese Wetenskappe V1    15                                DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 4/VRAAG 4

4.1        Marking criteria/Nasienkriteria
           If any of the underlined key words/phrases in the correct context is omitted deduct
           1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
           konteks uitgelaat is, trek 1 punt af.

           In an isolated/closed system the total (linear) momentum is
           conserved/remains constant. 
           In 'n geïsoleerde/geslote sisteem bly die totale (lineêre) momentum
           behoue/konstant.                                                                             (2)

4.2.1      OPTION 1/OPSIE 1
           EAST AS POSITIVE/OOS AS POSITIEF
                              ∑ pi = ∑ pf
                   mxvix + myviy = mxvfx + myvfy         Any one/Enige een
           (1,2)(8)  + (0,5)(0) = (1,2)(4) + (0,5)(vfy) 
                                 vfy = 9,6 m·s-1 
           WEST AS POSITIVE/WES AS POSITIEF
                               ∑ pi = ∑ pf
                                                           Any one/Enige een
                    mxvix + myviy = mxvfx + myvfy
           (1,2)(-8)  + (0,5)(0) = (1,2)(-4) + (0,5)(vfy) 
                                  vfy = - 9,6 m.s-1
                                  vfy = 9,6 m·s-1
           OPTION 2 /OPSIE 2
           EAST AS POSITIVE/OOS AS POSITIEF
                   Δpx = - Δpy
                                               Any one/Enige een
            m(vxf –vxi) = - m(vyf - vyi)
           1,2(4 - 8) = - 0,5(vf - 0) 
                     vfy = 9,6 m·s-1 
           WEST AS POSITIVE/WES AS POSITIEF
                      Δpx = - Δpy 
                                                Any one/Enige een
              m(vxf - vxi) = - m(vyf - vyi)
           1,2(- 4 + 8) = - 0,5(vf - 0) 
                        vfy = - 9,6 m.s-1
                        vfy = 9,6 m·s-1                                                                (4)

4.2.2     OPTION 1/OPSIE 1
          EAST POSITIVE/OOS POSITIEF:                   WEST POSITIVE/WES POSITIEF:
          For X/Vir X:                                  For X /Vir X:
            FnetΔt = Δp            Any one/              FnetΔt = Δp           Any one/
            FnetΔt = m(vf - vi)     Enige een             FnetΔt = m(vf - vi)     Enige een
          Fnet(0,1) = 1,2(4 - 8)                       Fnet(0,1) = 1,2( - 4 + 8) 
               Fnet = - 48 N                                Fnet = 48 N 
               Fnet = 48 N 

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Physical Sciences P1/Fisiese Wetenskappe V1    16                                      DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

          OPTION 2/OPSIE 2
          POSITIVE MARKING FROM QUESTION 4.2.1.
          POSITIEWE NASIEN VANAF VRAAG 4.2.1.
          EAST AS POSITIVE                  WEST AS POSITIVE
          OOS AS POSITIEF                   WES AS POSITIEF
           For Y/Vir Y:                     For Y/Vir Y:
              FnetΔt = Δp        Any one/      FnetΔt = Δp         Any one/
              FnetΔt = m(vf – vi) Enige een     FnetΔt = m(vf – vi) Enige een
          Fnet (0,1) = 0,5(-9,6 – 0)       Fnet (0,1) = 0,5(9,6 - 0) 
                Fnet = - 48 N                     Fnet = 48 N 
                Fnet = 48 N 
          OPTION 3/OPSIE 3
          EAST AS POSITIVE for X            WEST AS POSITIVE for X
          OOS AS POSITIEF vir X             WES AS POSITIEF vir X
          vf = vi + aΔt                     vf = vi + aΔt
          -4 = -8 + a(0,1)                  4 = 8 + a(0,1)
           a = - 40 m·s-2                   a = 40 m·s-2

           Fnet = ma                                    Fnet = ma 
           Fnet = (1,2)(-40)                            Fnet = (1,2)(40) 
           Fnet = - 48 N                                 Fnet = 48 N
           Fnet = 48 N 
          OPTION 4/OPSIE 4
          EAST AS POSITIVE for X                         WEST AS POSITIVE for X
          OOS AS POSITIEF vir X                          WES AS POSITIEF vir X
                 vi + vf                                         vi + vf
          ∆x = (         )∆t                             ∆x = (          )∆t
                    2                                               2
                 8+4                                            -8-4
          ∆x = (        )(0,1)                           ∆x = (          )(0,1)
                   2                                               2
          Δx = 0,6 m                                     Δx = - 0,6 m

             FnetΔxcosθ = ½mvf2 – ½mvi2                 FnetΔxcosθ = ½mvf2 – ½mvi2 
                                      2            2                               2            2
          Fnet(0,6)cos180º = ½ (1,2)(4) – ½ (1,2)(8)    Fnet(0,6)cos0º = ½(1,2)(-4) – ½(1,2)(-8) 
                     Fnet = 48 N                                Fnet = - 48 N 
                                                                 Fnet = 48 N 
          OPTION 5/OPSIE 5
                     ∆y
          Gradient =
                     ∆x
                     ∆v
                   =
                     ∆t
                     4-8
                   =
                      0,1
                   = -40 m·s-2

          Fnet = ma 
          Fnet = (1,2)(-40) 
          Fnet = -48 N
          Fnet = 48 N                                                                                     (3)

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Physical Sciences P1/Fisiese Wetenskappe V1    17                                DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

4.3       POSITIVE MARKING FROM QUESTION 4.2.1/
          POSITIEWE NASIEN VANAF VRAAG 4.2.1.
          OPTION 1/OPSIE 1
          Inelastic/onelasties 

          Ek = ½mv2 

          ∑ Eki = ½mXvXi2 + ½mYvYi2
                = ½(1,2)(8)2 + 0 
                = 38,4 J

          ∑ Ekf = ½mXvXf2 + ½mYvYf2
                = ½(1,2)(4)2 + ½(0,5)(9,6)2 
                = 32,64 J

          ∑ Eki ≠ ∑ Ekf 
          OPTION 2/OPSIE 2 (Change in Ektotal total /verandering in Ektotaal))
          Inelastic/onelasties

          Ek = ½mv2 

          ΔEk(X) = ½mv2f - ½mv2i
                              2             2
                 = ½(1,2)(4) – ½(1,2)(8) 
                 = - 28,8 J

          ΔEk(Y) = ½mv2f - ½mv2i
                                  2             2
                 = ½(0,5)(9,6) – ½(0,5)(0) 
                 = 23,04 J

           ΔEk(X)     ΔEk(Y) 
          Note/Aantekening:
          If candidate starts with conservation of kinetic energy/Indien kandidaat begin
                                                             4
          met behoud van kinetiese energie: max/maks                                                     (5)
                                                             5
                                                                                                        [14]

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Physical Sciences P1/Fisiese Wetenskappe V1    18                                    DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION 5/VRAAG 5

5.1       Marking criteria/Nasienkriteria
          If any of the underlined key words/phrases in the correct context is omitted deduct
          1 mark./Indien enige van die onderstreepte sleutelwoorde/frases in die korrekte
          konteks uitgelaat is, trek 1 punt af.

          A force is non-conservative if the work done by the force on an object (which
          is moving between two points) depends on the path taken. 
          'n Krag waarvoor die arbeid wat verrig word deur die krag op 'n voorwerp (wat
          tussen twee punte beweeg,) afhanklik is van die pad wat gevolg word.
          OR/OF
          A force is non-conservative if the work it does in moving an object around a
          closed path is non-zero.
          'n Krag is nie-konserwatief wanneer die arbeid wat dit verrig om 'n voorwerp
          in 'n geslote pad te beweeg, nie nul is nie.                                                   (2)
          Note/Aantekening:
                                                                           0
          -If work done is ommited/ Indien arbeid verrig uitgelaat word:
                                                                           2

5.2               N          F                                     N            F

                                          OR/OF
             f                                                 f
                                                                   Fg//        Fg┴
                       w

         Accepted labels/Aanvaarde benoemings
         w     Fw / Fg / mg /117,6 N / gravitational force / gravitasiekrag / weight / gewig
         F     FA /Applied force / T /Toegepaste krag/ FT
         f     Ff / fk / (kinetic) Friction / (kinetiese) wrywing / Fw
         N     FN / Normal / Normaal
         Notes/Aantekeninge:
          Mark awarded for label and arrow./Punt toegeken vir benoeming en pyltjie.
          Do not penalise for length of arrows since drawing is not to scale./Moenie
            vir die lengte van die pyltjies penaliseer nie aangesien die tekening nie
            volgens skaal is nie.
          If w is not shown but F// and Fg┴ are shown, give 1 mark for both./Indien w
            nie aangetoon is nie maar F// en Fg┴ is getoon, ken 1 punt toe vir beide.
          Any other additional force(s)/Enige ander addisionele krag(te):
           Max/Maks 3
                             4
                If everything is correct, but no arrows/Indien alles korrek is, maar geen
                 pyltjies: Max/Maks 3 •
                                      4
                If force(s) do not make contact with the dot /Indien krag(te) nie met die
                 kolletjie kontak maak nie: Max/Maks 3
                                                        4                                                (4)

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Physical Sciences P1/Fisiese Wetenskappe V1    19                                       DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

5.3      OPTION 1/OPSIE 1
         Wnc = ΔEk + ΔEp
                1                             Any one/Enige een
         Wnc = 2 m(v2f - v2i ) + mg(hf – hi)
             = ½(12)(2,252 - 0)  + (12)(9,8)(4,5 - 0) 
             = 559,58 J 
         OPTION 2/OPSIE 2
         WFg// = Fg//Δxcos                         WFg = FgΔxcos(90° + θ)
               = (mgsinθ)Δxcosθ                        = mgΔx(– sinθ)
                             4,5                                          - 4,5
               = (12)(9,8)(        )Δxcos180°               = (12)(9,8)(          )Δx
                              ∆x                                           ∆x
               = - 529,2 J                                  = - 529,2 J

         Wnet = ΔE                                       W net = W nc+ Wc 
              = ½mv2f – ½mv2i                          30,375 = W nc + (- 529,2) 
              = ½(12)(2,25)2 – 02                        W nc = 559,575 J  (559,58 J)
              = 30,375 J
         OPTION 3/OPSIE 3
                4,5
         Sinθ =
                 ∆x
                4,5
          Δx =
                sinθ
                                             W net = ΔEk
                                                                       Any one/
                                    WF + W f + W w = ΔEk                 Enige een
                      W nc + (mgsinθ)∆x(cosβ) = ½mv2f – ½mv2i
                             4,5
         Wnc + (12)(9,8)(           )sinθcos180° = ½(12)(2,25)2 – 02 
                             sinθ
                                                W nc = 559,58 J                                            (4)

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Physical Sciences P1/Fisiese Wetenskappe V1    20                                DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

5.4       POSITIVE MARKING FROM QUESTION 5.3.
          POSITIEWE NASIEN VANAF VRAAG 5.3.
          Marking criteria for OPTION 1 /Nasienkriteria vir OPSIE 1
           Formula for W nc /Formule vir Wnc 
           Correct substitution of 559,58 J in W nc along inclined plane 
            Korrekte vervanging van 559,58 J in Wnc langs die skuinsvlak
           Correct force equation and substitution of 0 for Fnet OR F = f2 on horizontal
            plane
            Korrekte kragvergelyking en vervanging van 0 vir Fnet OF F = f2 op die horisontale
            vlak.
           Relating the two frictional forces (substitution of f1 + 42 for f2).
            Bring die twee wrywingskragte in verband (vervanging van f1 + 42 vir f2).
           Correct answer/Korrekte antwoord: 13,32 m.
          OPTION 1/OPSIE 1
          ALONG THE INCLINE/AB/TEEN DIE SKUINSVLAK
              W nc = W F + Wf
                                                        Any one/Enige een
              W nc = FΔxcos0° + f1Δxcos180°
            559,58 = FΔxcos0° + f1Δxcos180°
          559,58 = (F – f1)Δx ....................(1)
          ALONG THE HORIZONTAL/BC/LANGS DIE HORISONTAAL
                    F - f2 = ma                    OR/OF F = f2
                    F - f2 = 0 
          F - (f1 + 42) = 0
                    F - f1 = 42....................(2)
          Substitute/Vervang (2) into/in (1):
          559,58 = 42Δx
              Δx = 13,32 m 
          Marking criteria for OPTION 2 and 3 /Nasienkriteria vir OPSIE 2 en 3
           Correct force equation and substitution of 0 for Fnet OR F = f2 on horizontal
            plane
            Korrekte kragvergelyking en vervanging van 0 vir Fnet OF F = f2 op die horisontale
            vlak.
           Relating the two frictional forces (substitution of f1 + 42 for f2).
            Bring die twee wrywingskragte in verband (vervanging van f1 + 42 vir f2).
           Formula for W nc OR W net /Formule vir Wnc OF Wnet
           Correct substitution into equation for W nc OR W net on the horizontal plane
            Korrekte vervanging in Wnc OF Wnet vergelyking langs die skuinsvlak
           Correct answer/Korrekte antwoord: 13,32 m.
          OPTION 2/OPSIE 2
          ALONG THE HORIZONTAL/BC/LANGS DIE HORISONTAAL
                    F - f2 = ma
                    F - f2 = 0      OR/OF F = f2
          F - (f1 + 42) = 0
                         F = f1 + 42
          ALONG THE INCLINE/AB/TEEN DIE SKUINSVLAK
                           W nc = ΔEK + ΔEP                                 Any one/
                                        2        2                         Enige een
                 (F – f1)Δxcosθ = [ ½mvf – ½mvi ] + [mghf - mghi]
          (f1 + 42 – f1)Δxcos0° = [ ½(12)(2,25)2 – 02] + [(12)(9,8)(4,5) – 0] 
                             Δx = 13,32 m  (13,32 m)

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Physical Sciences P1/Fisiese Wetenskappe V1    21                                   DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

          OPTION 3/OPSIE 3
          ALONG THE HORIZONTAL/BC/LANGS DIE HORISONTAAL
                    F - f2 = ma
                    F - f2 = 0          OR/OF F = f2
          F - (f1 + 42) = 0
                         F = f1 + 42
          ALONG THE INCLINE/AB/TEEN DIE SKUINSVLAK
                             W net = ΔEK
                                                                           Any one/
                     (F – f1 – Fg//)Δxcosθ = [ ½mv2f – ½mv2i ]             Enige een
                                  4,5
          [(42) – (12)(9,8)(            )] Δxcos0o = ½(12)(2,25)2 – 02
                                  ∆x
                                               Δx = 13,323214 m  (13,32 m)
          OPTION 4/OPSIE 4
                              W nc = ΔEK + ΔEP                                      Any one/
                               W nc = [ ½mv2f – ½mv2i ] + [mghf -mghi]               Enige een
          (f1 + 42 – f1)Δxcos0° = 559,575 
                       (42)Δxcos0° = 559,575
                               Δx = 13,323214 m  (13,32 m)
          Marking criteria for OPTION 5/Nasienkriteria vir OPSIE 5
           Correct force equation and substitution of 0 for Fnet OR F = f2 on horizontal
            plane/ Korrekte kragvergelyking en vervanging van 0 vir Fnet OF F = f2 op die
            horisontale vlak.
           Relating the two frictional forces (substitution of f1 + 42 for f2).
            Bring die twee wrywingskragte in verband (vervanging van f1 + 42 vir f2).
           Correct substitution to calculate a./Korrekte vervanging om a te bereken. .
           Substitution to calculate Fnet./Vervanging om Fnet te bereken. 
           Correct answer/Korrekte antwoord: 13,32 m.
          OPTION 5/OPSIE 5
          ALONG THE HORIZONTAL/BC/LANGS DIE HORISONTAAL
                    F - f2 = ma
                    F - f2 = 0                OR/OF F = f2
          F - (f1 + 42) = 0
                         F = f1 + 42 ......(1)
          ALONG THE INCLINE/AB/TEEN DIE SKUINSVLAK
             v2f = v2i + 2aΔx
          2,252 = 0 + 2aΔx 
                   2,53
              a=
                   ∆x
                          Fnet = ma
                   F- Fg// - f1 = ma
              F – mgsinθ – f1 = 12a .......
                                             2,53
          F – (12)(9,8)sinθ – f1 = 12(              ) ....(2)
                                             ∆x
          Substitute/Vervang (2) into/in (1):
                            4,5
          42 – (12)(9,8)(         ) = 30,38
                            ∆x
                             ∆x = 13,32 m                                                                  (5)
                                                                                                           [15]
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Physical Sciences P1/Fisiese Wetenskappe V1    22                                DBE/November 2022
                             NSC/NSS – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 6

6.1       Doppler Effect/Doppler-effek                                                                 (1)

6.2      Measurement of foetal heartbeat./Meting van die hartklop van 'n fetus.

         OR/OF
         Measurement of blood flow./Meting van bloedvloei. 

         OR/OF
         Doppler flow meter/Doppler vloeimeter 
                                                                                                        (1)

6.3       fL   fs 

          OR/OF
          Directly (proportional)/Direk (eweredig)                                                      (1)

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