A cricket ball is hit from the ground with an initial velocity of k(2i+5j)ms−1k(2\mathbf{i} + 5\mathbf{j})\text{ms}^{-1}k(2i+5j)ms−1, where k k\,k is a constant. The maximum height above the ground reached by the ball is 50 m.
Find the exact value of kkk.
Find the horizontal distance from the point of projection to the point where the ball strikes the ground.
57 exam-style questions on OCR (MEI) A Level Maths 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.