ECZ 2024 · O-Level Paper 1 — Travel Graphs

The following diagram is a speed-time graph of a particle moving in a straight line. The particle decelerates uniformly from a speed of 35m/s to 20m/s in 10 seconds. It then moves at a constant speed of 20m/s for 15 seconds before it decelerates uniformly to come to rest at the 40th second. Calculate the (b) speed of the particle when t = 31 seconds.

Diagram for ECZ 2024 · O-Level Paper 1
  • A. 12m/s
  • B. 20m/s
  • C. 15m/s
  • D. 8m/s

Verified working — step 1

Locate t = 31 s on the graph first: the final slow-down runs from 25 s to 40 s, so 31 s is 6 seconds into that stage.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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