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4 marksKinematics and Dynamics

CAPE Applied Mathematics Unit 2 · 2011 · Paper 2 · Question 6(a)(i)

An electric train starts from rest and accelerates uniformly, attaining its maximum speed after travelling 0.5 km. It maintains this speed for 1.5 km and then, through constant retardation is brought to rest after a further 0.3 km.

Sketch a velocity-time graph for the motion of the train.

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Other parts of this question

  1. 6(a)(ii)Using the graph, determine the initial uniform acceleration of the train, if the time taken for the whole journey is 6 minutes.[10 marks]
  2. 6(b)(i)Calculate the work done.[4 marks]
  3. 6(b)(ii)If the block is of mass 70 kg and there is a frictional force opposing the motion of the block, find the magnitude of the frictional force.[7 marks]

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