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3.2 Q: Kinematics

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Question 120

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 Q: Kinematics Questions

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

265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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