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0580/22 Feb/Mar 2024, Question 19: Area Under a Speed-Time Graph

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks

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The question, in short

Speed–time graph for a bus: speed rises from 0 to 15 m/s by 20 s, stays at 15 m/s until 140 s, then falls to 0 at 190 s. Calculate the total distance travelled.

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

Solution · 3 marks

  1. 1Distance = area under the graph (a trapezium)
  2. 2Parallel sides: 190 s and 140 − 20 = 120 s, height 15 m/s
  3. 3Distance = 1/2 × (190 + 120) × 15
  4. 4= 2325 m

Answer2325

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