In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle P P\,P is projected with velocity (3i+4j)(3\mathbf{i} + 4\mathbf{j})(3i+4j) m s−1^{-1}−1 from a point 20 m above horizontal ground, where i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. Air resistance is modelled as negligible.
Find the speed of P P\,P after 2 seconds.
Find the greatest height of P P\,P above 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.