A particle P P\,P travels along a straight line such that at time t t\,t seconds, t≥0t \geq 0t≥0, after leaving the point O O\,O on the line, the velocity of PPP, v v\,v ms−1^{-1}−1, is modelled as
v=3t+5−2t2 v = 3t + 5 - 2t^2 v=3t+5−2t2Find the value of t t\,t at the point when P P\,P stops accelerating.
Find the distance of P P\,P from O O\,O at the instant when P P\,P changes its direction of motion.
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.