A particle P P\,P is projected from ground level with velocity k(4i+3j)ms−1k(4\mathbf{i} + 3\mathbf{j})\text{ms}^{-1}k(4i+3j)ms−1, where k k\,k is a constant. The maximum vertical displacement of P P\,P from the ground is 45 m.
Find the exact value of kkk.
Find the horizontal distance travelled.
91 exam-style questions on OCR (MEI) A Level Maths 3.3 Projectiles (A-level only), covering 3.3.1 Model motion under gravity using vectors (A-level only), 3.3.2 Position, velocity, range and maximum height (A-level only), 3.3.3 Find the initial velocity of a projectile (A-level only), 3.3.4 Equation of the trajectory (A-level only), and 3.3.5 Solve simple projectile problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.