A particle P P\,P travels along a straight line through a point OOO.
At time t t\,t seconds after passing through OOO, the displacement of P P\,P from O O\,O is x x\,x metres, where x=2t3−18t2+48tx = 2t^3 - 18t^2 + 48tx=2t3−18t2+48t
Find the times at which P P\,P is instantaneously at rest.
Find the displacement of P P\,P from O O\,O at the later of these two times.
102 exam-style questions on WJEC A Level Maths 2.7 Kinematics, covering 2.7.1 Kinematics, 2.7.2 Kinematics, 2.7.3 Kinematics, and 2.7.4 Kinematics. Each one has a worked solution and a mark scheme showing where the marks go.