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
Show that the velocity of P P\,P is v=3t2−30t+62v = 3t^2 - 30t + 62v=3t2−30t+62.
Hence find the initial velocity of PPP.
Find the value of t t\,t for which P P\,P has zero acceleration.
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.