A particle P P\,P is projected with a velocity (3i+4j)ms−1(3\mathbf{i} + 4\mathbf{j})\text{ms}^{-1}(3i+4j)ms−1 from a point 20m above the ground.
Find the speed of the particle after 2 seconds.
Find the greatest height of PPP.
Find the horizontal distance travelled by P P\,P before it hits the ground.
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.