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.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.