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 r r\,r metres, where r=t3−15t2+62tr = t^3 - 15t^2 + 62tr=t3−15t2+62t
Find the initial velocity of PPP.
Find the value of t t\,t for which P P\,P has zero acceleration.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.