The displacement of a particle P P\,P from the origin at time t t\,t seconds is r=t2(t+k)r = t^2(t + k)r=t2(t+k) metres, where k k\,k is a constant.
P P\,P is instantaneously at rest when t=4t = 4t=4.
Show that k=−6k = -6k=−6.
Find the acceleration of P P\,P when t=10t = 10t=10.
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.