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4024/12 Oct/Nov 2023, Question 18: Speed-Time Graphs and Acceleration

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Using a speed–time graph for cyclists A and B over 20 seconds, find A's acceleration and determine which cyclist covers more distance and by how many metres.

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

Part (a) · 1 mark

Calculate the acceleration of cyclist A over the first 20 seconds from the graph.

  1. 1Acceleration = change in speed ÷ time
  2. 2= (7 − 1)/20 = 6/20 m/s²

Answer6/20

Part (b) · 3 marks

Compare the distances travelled by A and B in the first 20 seconds and state the difference in metres.

  1. 1Distance = area under graph
  2. 2Cyclist A: 1/2 × (1 + 7) × 20 = 80 m
  3. 3Cyclist B: 5 × 20 = 100 m
  4. 4100 − 80 = 20, so cyclist B, by 20 metres

AnswerCyclist B, by 20 metres

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Also searched as: 4024/12/O/N/23 · 4024_w23_qp_12 · 4024 w23 12 · question 18.
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