A stone is thrown with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point OOO, 1.0 m above the horizontal ground, at an angle α∘ \alpha^\circ\,α∘ to the horizontal. The stone reaches a maximum height of 6.0 m above the ground. The stone then strikes a target at point A A\,A on the ground (0 m height) at a horizontal distance of 10 m from OOO. The stone 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.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.