A small projectile is launched with speed U ms−1U \text{ ms}^{-1}U ms−1 from a bridge at point AAA, 10 m above the surface of a river. The angle of projection is 60∘ 60^\circ\,60∘ to the horizontal. The greatest height reached by the projectile is at point BBB, which is 12 m vertically above AAA.
Find the value of UUU.
Find the horizontal distance travelled by the projectile before it hits the river.
Find the speed of the projectile when it hits the water.
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.