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4024/11 Oct/Nov 2022, Question 17: Area Under a Speed-Time Graph

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

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The question, in short

Using Sam's speed–time graph for a 600-second journey to work, find the initial acceleration over the first 2 minutes and the average speed over the whole trip.

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

Part (a) · 1 mark

Find the acceleration in m/s² during the first 2 minutes, using the graph's initial straight section.

  1. 12 minutes = 120 s
  2. 2Acceleration = 20/120 = 1/6 m/s²

Answer1/6

Part (b) · 3 marks

Find Sam's average speed in m/s across the entire 600-second journey.

  1. 1Distance = area = 1/2 × (360 + 600) × 20 = 9600 m
  2. 2Average speed = 9600 ÷ 600 = 16 m/s

Answer16

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Also searched as: 4024/11/O/N/22 · 4024_w22_qp_11 · 4024 w22 11 · question 17.
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