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
