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 value of t, if the speed at t = 14 is 4 m/s.
- A. 14
- B. 16
- C. 18
- D. 15
Verified working — step 1
Deceleration starts at 12 s from 12 m/s. Between 12 s and 14 s the speed falls from 12 to 4 — a drop of 8 m/sin 2 s, so the deceleration is 4 m/s². From 12 m/sthe car needs 12 ÷ 4 = 3 s to stop, so t = 12 + 3 = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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