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3.2 Kinematics

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Question 3

A football is kicked with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point A A\,A on a roof, 15 m above the level ground. The ball is projected at an angle of 30∘ 30^\circ\,30∘ above the horizontal. The point B B\,B is the greatest height reached by the ball, which is 8 m vertically above AAA.

a.

Find the value of UUU.

[3]
b.

Find the horizontal distance travelled by the ball before it hits the ground.

[6]
c.

Find the speed of the ball when it hits the ground.

[3]
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