A particle P P\,P is projected from a point O O\,O on a horizontal plane with velocity k(2i+3j)ms−1k(2\mathbf{i} + 3\mathbf{j})\text{ms}^{-1}k(2i+3j)ms−1, where k k\,k is a constant. The greatest height reached by P P\,P is 9 m above the plane.
Find the exact value of kkk.
Find the horizontal distance travelled.
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.