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3.2 Kinematics

3.2 Kinematics

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Question 150

The unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.

At time t t\,t seconds a particle has position vector r=[(3t2−4)i+(2t2+12t)j]\mathbf{r} = \left[(3t^2 - 4)\mathbf{i} + (2t^2 + 12t)\mathbf{j}\right]r=[(3t2−4)i+(2t2+12t)j] m.

a.

Find the time at which the particle is travelling on a bearing of 045°045°045°.

[4]
b.

Find the magnitude of the acceleration of the particle.

[2]
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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