A particle P P\,P travels along a straight line through a point O O\,O so that at time t t\,t s after passing through O O\,O its displacement from O O\,O is x x\,x m, where x=t2(4t2−4t+1)x = t^2(4t^2 - 4t + 1)x=t2(4t2−4t+1)
Show that P P\,P will never move along the negative xxx-axis.
Find the times when P P\,P is instantaneously at rest.
Find the total distance travelled by P P\,P in the interval 0≤t≤50 \leq t \leq 50≤t≤5
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.
