A ball is projected vertically upwards at 10 m s-1 from the top of a vertical cliff 20 m above the sea. Model the ball 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 time taken for the ball to reach the sea.
Determine the speed with which the ball reaches the sea.
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.