A cricket ball is struck from a point OOO, which is 2.2 m above the horizontal ground. The ball is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 at an angle α∘ \alpha^\circ\,α∘ to the horizontal. In its subsequent motion, the ball reaches a maximum height of 5.2 m above the ground. The ball passes over a fielder standing at point AAA, which is 1.2 m above the ground and at a horizontal distance of 20 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.
91 exam-style questions on OCR (MEI) A Level Maths 3.3 Projectiles (A-level only), covering 3.3.1 Model motion under gravity using vectors (A-level only), 3.3.2 Position, velocity, range and maximum height (A-level only), 3.3.3 Find the initial velocity of a projectile (A-level only), 3.3.4 Equation of the trajectory (A-level only), and 3.3.5 Solve simple projectile problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.