A particle Q Q\,Q is projected with speed U ms−1U \text{ ms}^{-1}U ms−1 from a point AAA, 30 m above the ground. Q Q\,Q is projected at an angle of 45∘ 45^\circ\,45∘ to the horizontal. B B\,B is the greatest height reached by QQQ, 15 m above AAA.
Find the value of UUU.
Find the horizontal distance travelled.
Find the speed of the particle 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.