The velocity of a particle at time t t\,t seconds is v=(6t−2t2) m s−1v=(6t-2t^2)\text{ m s}^{-1}v=(6t−2t2) m s−1 for 0≤t≤30\leq t\leq30≤t≤3.
Sketch the velocity-time graph, marking the intercepts and the maximum point.
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.