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3.2 Kinematics

3.2 Kinematics

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Question 33

At 2 p.m. drone P P\,P has position vector (2i+7j)(2\mathbf{i} + 7\mathbf{j})(2i+7j) m and moves with constant velocity (i−2j)(\mathbf{i} - 2\mathbf{j})(i−2j) m s−1\text{s}^{-1}s−1. Another drone Q Q\,Q has position vector (−3i+j)(-3\mathbf{i} + \mathbf{j})(−3i+j) m and moves with constant velocity (5i+2j)(5\mathbf{i} + 2\mathbf{j})(5i+2j) m s−1\text{s}^{-1}s−1.

a.

Find the relative displacement of drone P P\,P from drone Q Q\,Q after t t\,t seconds.

[6]
b.

Find the time when P P\,P is due west of QQQ.

[2]
c.

Find the time, after 2 p.m., when the drones are exactly 85 \sqrt{85}\,85​ m apart.

[6]
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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