A particle has acceleration a=6t m s−2a=6t\text{ m s}^{-2}a=6t m s−2. At t=0t=0t=0, its velocity is 4 m s-1 and its displacement from O O\,O is zero.
Find the velocity at time ttt.
Find the displacement from O O\,O after 3 seconds.
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.