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Cambridge AS & A Level Mathematics

4.2Kinematics of motion in a straight line

Kinematics of motion in a straight line in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic60 practice questions3 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 4.2.1Distinguish distance and speed (scalars) from displacement, velocity and acceleration (vectors).
  2. 4.2.2Sketch and interpret displacement–time and velocity–time graphs, using areas and gradients.
  3. 4.2.3Use differentiation and integration with respect to time for displacement, velocity and acceleration.
  4. 4.2.4Use the formulae for motion with constant acceleration in a straight line.

Lessons

  • Displacement–time and velocity–time graphs

    50 min

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  • Kinematics using calculus: variable acceleration

    50 min

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  • Motion in a straight line with constant acceleration

    55 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Kinematics of motion in a straight line: sample question

1 mark

The displacement of a particle from OO is s=2t3−5t+1s = 2t^3 - 5t + 1 metres at time tt seconds. Find its velocity when t=2t = 2.

Answer in m/s.

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