A ball is thrown from the top of a tower 15m high with an initial velocity of (5i+12j)ms−1(5\mathbf{i} + 12\mathbf{j})\text{ms}^{-1}(5i+12j)ms−1.
Find the speed of the ball after 1.5 seconds.
Find the greatest height of the ball above the ground.
Find the horizontal distance travelled by the ball before it hits 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.