The velocity v m s−1v\text{ m s}^{-1}v m s−1 of a particle at time t t\,t seconds is represented by the straight line v=6−2tv=6-2tv=6−2t for 0≤t≤50\leq t\leq50≤t≤5.
Sketch the velocity-time graph.
Find the greatest displacement of the particle from its initial position.
Find the displacement and the total distance travelled during the five 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.