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.
Practise Edexcel AS Level Maths Variable Acceleration with exam-style questions for AS Level Maths. 16 questions covering Functions of Time, Using Differentiation, Maxima and Minima Problems, Using Integration, and Constant Acceleration Formulae, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.