A particle P P\,P is projected from the ground with velocity k(i+5j)ms−1k(\mathbf{i} + 5\mathbf{j})\text{ms}^{-1}k(i+5j)ms−1, where k k\,k is a constant. Given the greatest height reached by P P\,P is 75m above the ground.
Find the exact value of kkk.
Find the horizontal distance travelled.
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.