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0606/12 Feb/Mar 2026, Question 3: Area Under a Speed-Time Graph

Cambridge IGCSE Additional Mathematics 0606 · Paper 12 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

Particle starts from rest at origin with constant positive acceleration; at t = 4, s = 6. Draw a velocity-time graph for 0 ≤ t ≤ 4 and use it to find the acceleration.

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Part (a) · 2 marks

On the given grid with velocity axis 0, 2, 4, 6 and time axis 0, 2, 4, draw the velocity-time line for 0 ≤ t ≤ 4.

  1. 1Constant acceleration from rest: the graph is a straight line from (0, 0)
  2. 2Displacement = area under graph = (1/2)(4)(v) = 6
  3. 3v = 3 at t = 4, so the line goes from (0, 0) to (4, 3)

AnswerStraight line from (0, 0) to (4, 3)

Part (b) · 1 mark

Using your velocity-time graph, find the constant acceleration of the particle.

  1. 1Acceleration = gradient = 3/4 m s⁻²

Answer3/4 m s⁻²

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