A tennis ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point OOO, which is 1.5 m above the horizontal ground. The ball is projected at an angle α∘ \alpha^\circ\,α∘ to the horizontal. During its flight, the ball reaches a maximum height of 4.5 m above the ground and passes through a point AAA, which is 0.5 m above the ground and at a horizontal distance of 12 m from OOO. The ball is modeled as a particle moving under gravity.
Find the value of UUU.
Find the size of angle α\alphaα.
State one limitation of the model that could affect the accuracy of your answers.
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.