In this question you must show detailed reasoning.
A stone is projected vertically upwards from the top of a tower with speed 14 m s-1. It reaches horizontal ground 4 seconds later. Model the stone as a particle moving freely under gravity and use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2.
Determine the height of the tower.
Determine the speed of the stone immediately before it reaches the ground.
Determine the greatest height of the stone above the ground.
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.