A child sits on the ground next to a remote-controlled toy car. At time t = 0, the car begins to move in a straight line directly away from the child. The variation with time t of the velocity of the car along this line is shown in [Figure 4.1]. The car's horn continually emits sound of frequency 925 Hz between time t = 0 and time t = 6.0 s. The speed of the sound in the air is 338 m s⁻¹.
- (a)(i)Describe qualitatively the variation, if any, in the frequency of the sound heard, by the child, that was emitted from the car horn: (i) from time t = 0 to time t = 2.0 s[1]
- (a)(ii)(ii) from time t = 4.0 s to time t = 6.0 s.[1]
- (b)Determine the frequency, to three significant figures, of the sound heard, by the child, that was emitted from the car horn at time t = 3.0 s. frequency = ...................................................... Hz[2]
- (c)Determine the time taken for the sound emitted at time t = 4.0 s to travel to the child. time taken = ...................................................... s[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] decrease(s)
- [B1] increase(s)
- [C1] fo = fs v / (v + Vs)
- [A1] = 925 × 338 / (338 + 12) = 893 Hz
- [C1] distance = (½ × 2 × 12) + (2 × 12) (= 36 m)
- [A1] time taken = 36 / 338 = 0.11 s
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