The acceleration of a particle at time t t\,t seconds is a=(4t−8) m s−2a=(4t-8)\text{ m s}^{-2}a=(4t−8) m s−2. At t=0t=0t=0 its velocity is 6 m s-1.
Find v v\,v in terms of ttt.
Find the distance between the two points at which the particle is instantaneously at rest.
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.