A particle Q Q\,Q is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point AAA, 30 m above the ground. Q Q\,Q is projected at an angle of 45∘ 45^\circ\,45∘ to the horizontal. B B\,B is the greatest height reached by QQQ, 15 m above AAA.
Find the value of UUU.
Find the horizontal distance travelled.
Find the speed of the particle 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.