The velocity of a particle after t t\,t seconds is given by v=(6t−t2) m s−1v = (6t - t^2) \text{ m s}^{-1}v=(6t−t2) m s−1. When t=0t = 0t=0 the particle is at the origin OOO.
Find the value of t t\,t when the particle comes to instantaneous rest.
Hence find the distance of the particle from O O\,O when the particle comes to instantaneous rest.
308 exam-style questions on Edexcel A Level Maths Variable Acceleration, covering 11.1 Functions of Time, 11.2 Using Differentiation, 11.3 Maxima and Minima Problems, 11.4 Using Integration, and 11.5 Constant Acceleration Formulae. Each one has a worked solution and a mark scheme showing where the marks go.