A particle P P\,P travels along a straight line through a point O O\,O so that at time t t\,t s after passing through O O\,O its displacement from O O\,O is x x\,x m, where x=t3−15t2+62tx = t^3 - 15t^2 + 62tx=t3−15t2+62t
the initial velocity of PPP,
the value of t t\,t for which P P\,P has zero acceleration.
28 exam-style questions on Edexcel AS 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.