A particle moves in a straight line so that its displacement from the origin at time t t\,t seconds, t≥0t \geq 0t≥0, is r=2t3−9t2+12tr = 2t^3 - 9t^2 + 12tr=2t3−9t2+12t metres
Find the velocity of the particle when t=1t = 1t=1.
Find the acceleration of the particle when t=1t = 1t=1.
State what your answers to parts (a) and (b) tell you about the motion of the particle at t=1t = 1t=1.
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.