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3.2 Kinematics

3.2 Kinematics

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Question 11

A particle P P\,P is projected from a point O O\,O with velocity Ums−1U\text{ms}^{-1}Ums−1 at an angle of θ∘ \theta^\circ\,θ∘ to the horizontal. When P P\,P has moved a horizontal distance xxx, its height above O O\,O is yyy.

a.

Show that

y=xtan⁡θ−gx22u2cos⁡2θ y = x \tan \theta - \frac{g x^2}{2 u^2 \cos^2 \theta} y=xtanθ−2u2cos2θgx2​
[4]
b.

Given that θ=45∘\theta = 45^\circθ=45∘ and that when x=6x = 6x=6, y=2y = 2y=2, find the speed of P P\,P at the point where x=6x = 6x=6 and y=2y = 2y=2.

[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.

Question bank