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 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.