A particle P P\,P is projected with speed Ums−1U\text{ms}^{-1}Ums−1 from the point AAA, 20m above the ground. P P\,P is projected at an angle of 60∘ 60^\circ\,60∘ to the horizontal. B B\,B is the greatest height of PPP, 16m above AAA.
Find the value of UUU.
Find the horizontal distance travelled.
Find the speed of the ball when 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.