A small projectile is launched with speed U ms−1U \text{ ms}^{-1}U ms−1 from a bridge at point AAA, 10 m above the surface of a river. The angle of projection is 60∘ 60^\circ\,60∘ to the horizontal. The greatest height reached by the projectile is at point BBB, which is 12 m vertically above AAA.
Find the value of UUU.
Find the horizontal distance travelled by the projectile before it hits the river.
Find the speed of the projectile when it hits the water.
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.