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3 marksVelocity-Time Graphs and Acceleration

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

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.

In the space below, sketch a velocity-time graph to illustrate the motion of the vehicle.

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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)(ii)Calculate the length of time the vehicle maintains constant speed.[7 marks]
  4. 8(b)(iii)Calculate the maximum velocity attained.[2 marks]
  5. 8(b)(iv)Determine the acceleration of the vehicle.[2 marks]

More practice: the rest of this paper · more Velocity-Time Graphs and Acceleration questions · all CSEC Additional Mathematics past papers