The velocity of a particle after t t\,t seconds is given by v=(6t−2t2) m s−1v = (6t - 2t^2) \text{ m s}^{-1}v=(6t−2t2) m s−1. When t=0t = 0t=0 the particle is at the origin OOO.
Find the distance of the particle from O O\,O when the particle comes to instantaneous rest.
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.