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3.2 Kinematics

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Question 98

A train accelerates uniformly from rest at station A to a velocity of 32 m s-1. It maintains this velocity for 72 seconds and then decelerates uniformly to rest at station B. The total journey time is 112 seconds, and the magnitudes of the acceleration and deceleration are equal.

a.

Find the time taken for the train to accelerate from rest to 32 m s-1.

[2]
b.

Sketch a velocity-time graph for the motion of the train between A and B.

[2]
c.

Calculate the distance between the two stations.

[3]
Markscheme

3.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Kinematics

260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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