The velocity of a particle after t t\,t seconds is given by v=(8t−3) m s−1v = (8t - 3) \text{ m s}^{-1}v=(8t−3) m s−1. After 4 seconds the displacement is 60m from O.
Find an expression for the displacement in the form at2+bt+cat^2+bt+cat2+bt+c, giving the values of aaa, b b\,b and ccc.
Find the displacement after 9 seconds.
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.