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.
Practise Edexcel AS Level Maths Variable Acceleration with exam-style questions for AS Level Maths. 16 questions covering Functions of Time, Using Differentiation, Maxima and Minima Problems, Using Integration, and Constant Acceleration Formulae, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.