A particle P P\,P is projected from the ground with velocity u(3i+4j)ms−1u(3\mathbf{i} + 4\mathbf{j})\text{ms}^{-1}u(3i+4j)ms−1, where u u\,u and k k\,k are constants. Given the greatest height reached by P P\,P is k k\,km above the ground.
Find the exact value of u u\,u in terms of kkk.
Find the horizontal distance travelled in terms of kkk.
230 exam-style questions on Edexcel A Level Maths Projectiles, covering 6.1 Horizontal Projection, 6.2 Horizontal and Vertical Components, 6.3 Projection at Any Angle, and 6.4 Projectile Motion Formulae. Each one has a worked solution and a mark scheme showing where the marks go.