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3.2 Q: Kinematics

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Question 35

A ball is kicked from a point O O\,O on level horizontal ground with velocity U ms−1U \text{ ms}^{-1}U ms−1 at an angle θ \theta\,θ to the horizontal. At horizontal distance x x\,x from OOO, the height of the ball is yyy.

a.

Show that the equation of the path of the ball is

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=60∘\theta = 60^\circθ=60∘ and that when x=10x = 10x=10, y=4y = 4y=4, find the speed of the ball at the point where x=10x = 10x=10 and y=4y = 4y=4.

[6]
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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