A stone is projected from a cliff at a height of 30m above sea level with a velocity of (4i+7j)ms−1(4\mathbf{i} + 7\mathbf{j})\text{ms}^{-1}(4i+7j)ms−1.
Find the speed of the stone after 2.5 seconds.
Find the greatest height of the stone above sea level.
Find the horizontal distance travelled by the stone before it hits 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.