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AS Daily A Level Physics question

2025-09-13 OCR A Physical quantities & SI, Scalar vs Vector, Kinematics (displacement–time) 3.1.1(a)

Along a straight track, a trolley travels 8 m forward in 4 s, remains stationary for 2 s, then travels 4 m backward in 2 s. Using the total elapsed time, which statement must be true about its average speed and the magnitude of its average velocity?

  1. A The average speed is three times the magnitude of the average velocity. (correct)
  2. B The average speed equals the magnitude of the average velocity because the motion is along one line.
  3. C The average speed is 50% greater than the magnitude of the average velocity.
  4. D The average speed is smaller than the magnitude of the average velocity due to the 2 s stop.

Answer

The correct answer is A.

Correct: A — The average speed is three times the magnitude of the average velocity. A Total distance is 12 m and displacement is 4 m over the same total time of 8 s, so (12/8) ÷ (4/8) = 3. B Wrong because reversing direction makes distance larger than displacement even in one dimension, so they are not equal. C Wrong because 50% greater would imply a ratio of 1.5, but the correct ratio is 3. D Wrong because total distance cannot be less than the magnitude of displacement; the stop increases the time for both measures equally and doesn’t reverse that inequality.