A particle moves in a straight line.
At time t t\,t seconds, t≥0t \geq 0t≥0, the velocity of the particle is v=(t3−9t2+24t)v = (t^3 - 9t^2 + 24t)v=(t3−9t2+24t) m s−1^{-1}−1
Find the times at which the acceleration of the particle is zero.
Find the velocity of the particle at each of these times.
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.