A stone is thrown from a point O O\,O on horizontal ground with velocity k(5i+j)ms−1k(5\mathbf{i} + \mathbf{j})\text{ms}^{-1}k(5i+j)ms−1, where k k\,k is a constant. The maximum height of the stone above the ground is 5 m.
Find the exact value of kkk.
Find the horizontal distance from O O\,O to the point where the stone returns to 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.