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=2t3−18t2+48tx = 2t^3 - 18t^2 + 48tx=2t3−18t2+48t
the times when P P\,P is instantaneously at rest,
the total distance travelled in the first 5 seconds.
46 exam-style questions on OCR A Level Maths 3.2.6 Non-uniform acceleration in one dimension (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.