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0580/23 May/Jun 2021, Question 18: Area Under a Speed-Time Graph

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks

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The question, in short

Car accelerates from rest at 3 m/s² for 4 s, then constant speed for 10 s; use the speed–time graph to find V and the total distance over 14 s.

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Part (a) · 1 mark

Find the value of V from the speed–time graph.

  1. 1V = 3 × 4
  2. 2= 12

Answer12

Part (b) · 2 marks

Calculate the total distance the car travels during the 14 seconds.

  1. 1Area of triangle = 1/2 × 4 × 12 = 24
  2. 2Area of rectangle = 10 × 12 = 120
  3. 3Distance = 24 + 120 = 144

Answer144

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