A particle P P\,P moves in a straight line such that at t t\,t seconds, t≥0t \geq 0t≥0, its velocity, v ms−1v \text{ ms}^{-1}v ms−1 is given by:
v=12−2t2 v = 12 - 2t^2 v=12−2t2the distance travelled by P P\,P in the first second,
the value of t t\,t when P P\,P changes direction of motion,
the value of t t\,t at the instant P P\,P returns to its starting 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.