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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.