A particle moves in a straight line through a point OOO.
At time t t\,t seconds, t≥0t \geq 0t≥0, the velocity of the particle is v=(6t2−30t+24)v = (6t^2 - 30t + 24)v=(6t2−30t+24) m s−1^{-1}−1
The particle is at O O\,O when t=0t = 0t=0.
Find the times at which the particle is instantaneously at rest.
Find the displacement of the particle from O O\,O when t=4t = 4t=4.
Hence find the total distance travelled by the particle in the first 4 seconds.
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.