A particle moves in a straight line so that its velocity at time t t\,t seconds, t≥0t \geq 0t≥0, is v=(3t2−12t+9)v = (3t^2 - 12t + 9)v=(3t2−12t+9) m s−1^{-1}−1
Find the acceleration of the particle when t=1t = 1t=1.
Find the times at which the particle is instantaneously at rest.
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.