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.
28 exam-style questions on Edexcel AS Level Maths Variable Acceleration, covering 11.1 Functions of Time, 11.2 Using Differentiation, 11.3 Maxima and Minima Problems, 11.4 Using Integration, and 11.5 Constant Acceleration Formulae. Each one has a worked solution and a mark scheme showing where the marks go.