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3.2 Kinematics

3.2 Kinematics

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Question 40

In this question you must show detailed reasoning.

A particle leaves O O\,O at time t=0t=0t=0 with velocity v=(t2−6t+5) m s−1v=(t^2-6t+5)\text{ m s}^{-1}v=(t2−6t+5) m s−1, where t≥0t\geq0t≥0.

a.

Find the times during the first 6 seconds at which the particle changes direction.

[3]
b.

Find the displacement of the particle during the first 6 seconds.

[2]
c.

Determine the total distance travelled during the first 6 seconds.

[4]
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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