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.
Find the value of UUU.
Find the horizontal distance travelled by the ball before it hits the ground.
Find the speed of the ball when it hits the ground.
Practise Edexcel A Level Maths Projectiles with exam-style questions for A Level Maths. 73 questions covering Horizontal Projection, Horizontal and Vertical Components, Projection at Any Angle, and Projectile Motion Formulae, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.