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.
91 exam-style questions on OCR (MEI) A Level Maths 3.3 Projectiles (A-level only), covering 3.3.1 Model motion under gravity using vectors (A-level only), 3.3.2 Position, velocity, range and maximum height (A-level only), 3.3.3 Find the initial velocity of a projectile (A-level only), 3.3.4 Equation of the trajectory (A-level only), and 3.3.5 Solve simple projectile problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.