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3.2 Kinematics

3.2 Kinematics

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Question 72

A small aircraft P P\,P moves with a constant velocity. At 09:30, P P\,P is at the point with position vector (10i−5j) km(10\mathbf{i} - 5\mathbf{j}) \text{ km}(10i−5j) km with respect to a fixed origin OOO. At 12:00, the aircraft is at the point with position vector (−5i+25j) km(-5\mathbf{i} + 25\mathbf{j}) \text{ km}(−5i+25j) km.

a.

Find the velocity of PPP.

[2]
b.

Find the bearing of the velocity vector.

[2]
c.

Find an expression, in terms of ttt, for the position of PPP t t\,t hours after 09:30.

[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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