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4024/11 Oct/Nov 2023, Question 19: Speed-Time Graphs and Acceleration

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using a speed–time graph where speed rises from 0 to 20 m/s in 10 s then stays at 20 m/s until T, find the initial acceleration and the time T for a 700 m journey.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Calculate the car's acceleration during the first 10 seconds from the graph.

  1. 1Acceleration = 20 ÷ 10 = 2 m/s²

Answer2

Part (b) · 3 marks

Given the car covers 700 m in T seconds, determine T.

  1. 1Distance = area under the graph
  2. 21/2 × 10 × 20 + 20(T − 10) = 700
  3. 3100 + 20T − 200 = 700
  4. 420T = 800, T = 40

Answer40

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