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.
Practise Edexcel A Level Maths Projectiles with exam-style questions for A Level Maths. 73 questions covering Horizontal Projection, Horizontal and Vertical Components, Projection at Any Angle, and Projectile Motion Formulae, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.