A particle P P\,P is projected from the ground with velocity k(3i+4j)ms−1k(3\mathbf{i} + 4\mathbf{j})\text{ms}^{-1}k(3i+4j)ms−1, where k k\,k is a constant. Given the greatest height reached by P P\,P is 24m above the ground.
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.