A particle P P\,P is projected with a velocity (6i+8j)ms−1(6\mathbf{i} + 8\mathbf{j})\text{ms}^{-1}(6i+8j)ms−1 from a point 15m above the ground.
Find the speed of the particle after 2.5 seconds.
Find the greatest height of PPP.
Find the horizontal distance travelled by P P\,P 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.