A particle leaves O O\,O at time t=0t=0t=0 with velocity v=(3t+5−2t2) m s−1v=(3t+5-2t^2)\text{ m s}^{-1}v=(3t+5−2t2) m s−1.
Find the value of t t\,t and the speed of the particle when it stops accelerating.
Find the distance of the particle from O O\,O when it changes direction.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.