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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.