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.
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.