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.
158 exam-style questions on OCR (MEI) A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Position, displacement, distance and distance travelled, 3.2.3 Velocity, speed and acceleration distinctions, 3.2.4 Draw and interpret kinematics graphs, 3.2.5 Differentiate position and velocity (A-level only), 3.2.6 Integrate acceleration and velocity (A-level only), 3.2.7 When constant acceleration formulae apply, 3.2.8 Solve 1-D kinematics problems, 3.2.9 Language of kinematics in 2 dimensions (A-level only), 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only), 3.2.11 Cartesian equation of a path (A-level only), and 3.2.12 Vectors to solve kinematics problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.