A ball is thrown from the top of a tower 15m high with an initial velocity of (5i+12j)ms−1(5\mathbf{i} + 12\mathbf{j})\text{ms}^{-1}(5i+12j)ms−1.
Find the speed of the ball after 1.5 seconds.
Find the greatest height of the ball above the ground.
Find the horizontal distance travelled by the ball before 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.