The velocity of a particle moving in a straight line after t t\,t seconds is given by v=(6t−2t2)v = (6t - 2t^2)v=(6t−2t2) m s−1^{-1}−1.
When t=0t = 0t=0 the particle is at the point O O\,O on the line.
Find the value of t t\,t at which the particle next comes to instantaneous rest.
Hence find the distance of the particle from O O\,O at that instant.
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.