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0580/22 May/Jun 2024, Question 16: Area Under a Speed-Time Graph

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks

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The question, in short

Using a speed–time graph for a car, work out the slowing rate over the final section and the overall distance covered across the 320 s journey.

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

Part (a) · 1 mark

Work out how quickly the car slows down during the interval from 240 s to 320 s.

  1. 1Deceleration = 16 ÷ (320 − 240) = 16 ÷ 80
  2. 2= 0.2 m/s²

Answer0.2

Part (b) · 3 marks

Work out the total distance travelled over the whole 320 s, using the three stages of the graph.

  1. 1Distance = area under the graph (a trapezium)
  2. 2Parallel sides: 240 − 30 = 210 and 320; height 16
  3. 3Distance = 1/2 × (210 + 320) × 16 = 4240 m

Answer4240

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Also searched as: 0580/22/M/J/24 · 0580_s24_qp_22 · 0580 s24 22 · question 16.
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