A particle P P\,P moves in a straight line so that, at time t t\,t seconds, its velocity v m s−1v \text{ m s}^{-1}v m s−1 is given by
v={8t−t20≤t≤48−2tt>4 v = \begin{cases} 8t - t^2 & 0 \leq t \leq 4 \\ 8 - 2t & t > 4 \end{cases} v={8t−t28−2t0≤t≤4t>4Find the acceleration of P P\,P when t=3t = 3t=3.
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.