The displacement s s\,s metres of a particle from a fixed point after t t\,t seconds is modelled, for 0≤t≤60\leq t\leq 60≤t≤6, by s=ut+12at2s=ut+\dfrac12at^2s=ut+21at2, where u=4 m s−1u=4\text{ m s}^{-1}u=4 m s−1 and a=3 m s−2a=3\text{ m s}^{-2}a=3 m s−2.
Explain why both terms on the right-hand side have the unit metre.
Find the average speed of the particle during the six 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.