A particle P P\,P is projected from the ground with velocity k(3i+6j)ms−1k(3\mathbf{i} + 6\mathbf{j})\text{ms}^{-1}k(3i+6j)ms−1, where k k\,k is a constant. Given the greatest height reached by P P\,P is 54m above the ground.
Find the exact value of kkk.
Find the horizontal distance travelled.
193 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.