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4024/11 Oct/Nov 2025, Question 14: Speed-Time Graphs and Acceleration

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Speed–time graph for Lia's 800 m journey in 105 s: line rises from origin to (10, v), then stays at v until 105 s. Find v and the initial acceleration.

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

Part (a) · 2 marks

Use the area under the graph, equal to 800 m, to work out the value of v.

  1. 1Distance = area under graph = 1/2 × (105 + 95) × v = 100v
  2. 2100v = 800
  3. 3v = 8

Answer8

Part (b) · 1 mark

Work out Lia's acceleration over the first 10 seconds from the graph.

  1. 1Acceleration = 8/10 m/s² (= 0.8 m/s²)

Answer8/10

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