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=112t2(9t2−16t+6) x = \frac{1}{12}t^2(9t^2 - 16t + 6) x=121t2(9t2−16t+6)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≤20 \leq t \leq 20≤t≤2
