A stone is projected from a cliff at a height of 30m above sea level with a velocity of (4i+7j)ms−1(4\mathbf{i} + 7\mathbf{j})\text{ms}^{-1}(4i+7j)ms−1.
Find the speed of the stone after 2.5 seconds.
Find the greatest height of the stone above sea level.
Find the horizontal distance travelled by the stone before it hits the sea.
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.