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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.