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7 marksVelocity-Time Graphs and Acceleration

CSEC Additional Mathematics · 2017 · Paper 2 · Question 8(b)(ii)

A vehicle accelerates uniformly from rest for 75 m, then travels for another 120 m at its maximum speed, and later stops at a traffic light. The total distance from rest to the traffic light is 240 m, and the total time for the journey is 15 seconds.

Calculate the length of time the vehicle maintains constant speed.

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Other parts of this question

  1. 8(a)(i)Determine the velocity of the particle at t = 3.5 s, clearly stating the correct unit.[3 marks]
  2. 8(a)(ii)If the particle is momentarily at rest, find the time, t, at this position.[3 marks]
  3. 8(b)(i)In the space below, sketch a velocity-time graph to illustrate the motion of the vehicle.[3 marks]
  4. 8(b)(iii)Calculate the maximum velocity attained.[2 marks]
  5. 8(b)(iv)Determine the acceleration of the vehicle.[2 marks]

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