ECZ 2023 · GCE Paper 1 — Travel Graphs

The diagram is a speed-time graph of a car. The car starts from rest and accelerates uniformly at 3 m/s² for 4 seconds until it reaches a speed of v m/s. It then travels at this constant speed for 8 seconds and finally comes to rest after t seconds. Find the average speed for the first 12 seconds.

Diagram for ECZ 2023 · GCE Paper 1
  • A. 12 m/s
  • B. 8 m/s
  • C. 10 m/s
  • D. 6 m/s

Verified working — step 1

Distance in the first 12 s = area under the graph: triangle ½ × 4 × 12 = 24 m, then rectangle 8 × 12 = 96 m; total 120 m. Average speed = 120 ÷ 12 = …

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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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