A car starts from a point P at time t = 0 seconds and stops at point Q. The distance x, in metres, covered by it, in t seconds is given by `x=t^2(2-t/3)`Find the time taken by it to reach Q and also find distance between P and Q.

Explanation

Given `x=t^2(2-t/3)`


Let `v` be the velocity of car at `t` sec


i.e., `v=dx/dt`


`v=d/dt(t^2(2-(t/3))`


...