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Physics · May / June 2023 · Paper 41 · Question 1

0625

As printed in the paper

The question as text

Fig. 1.1 shows a straight section of a river where the water is flowing from right to left at a speed of 0.54 m / s. swimmer current P 0.54 m / s river Fig. 1.1 (not to scale) A swimmer starts at point P and swims at a constant speed of 0.72 m / s relative to the water and at right angles to the current.

Read automatically from the paper; the printed page above is exact.

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  • 1(a)(i)[4]

    (magnitude of velocity =) 0.90 m / s

    use of Pythagoras’ theorem e.g. a2 + b2 = c2 OR (speed =) (

    2
    2

    0.54

    0.72

    OR

    correct vector triangle or rectangle drawn

    (direction of velocity =) 53° (to riverbank)

    use of trigonometry to find angle e.g. tanθ = 0.72 / 0.54

    OR

    (only) angle with horizontal identified on the diagram

  • 1(a)(ii)[3]

    (distance =) 81 m

    v = s / t OR (s =) vt OR (s =) 0.9(0) × 90

    (time =) 1.5 × 60 (= 90) OR (time =) 90

  • 1(b)[2]

    friction (of water backwards) OR resistance (on swimmer backwards)

    (friction / resistance) balances forward force OR (there is) no resultant force

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