The acceleration of a particle after t t\,t seconds is given by (4t−8) ms−2(4t - 8) \text{ ms}^{-2}(4t−8) ms−2. Given the velocity (vvv) of the particle is 6 ms-1 when t=0t = 0t=0.
Find v v\,v in terms of ttt.
Find the distance between the two points the particle is instantaneously at rest.
Practise Edexcel A Level Maths Variable Acceleration with exam-style questions for A Level Maths. 16 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.