A particle P P\,P moves in a straight line so that, at time t t\,t seconds, its acceleration a m s−2a \text{ m s}^{-2}a m s−2 is given by
a={10t−3t20≤t≤327t2t>3 a = \begin{cases} 10t - 3t^2 & 0 \leq t \leq 3 \\ \frac{27}{t^2} & t > 3 \end{cases} a={10t−3t2t2270≤t≤3t>3At t=0t = 0t=0, P P\,P is at rest. Find the speed 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.