In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A particle is projected from the origin with velocity (12i+16j)(12\mathbf{i} + 16\mathbf{j})(12i+16j) m s−1^{-1}−1, where i\mathbf{i}i is horizontal and j\mathbf{j}j is vertically upwards. Air resistance is modelled as negligible.
Find the position vector of the particle at the instant when it is moving at 45° 45°\,45° below the horizontal.
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.