A car stands from a point P at time t = 0 sec and stops at point Q. The distance x, in metres, covered by it, in t seconds in given by $x = t^2 (2 - \frac{t}{3})$. Find the time taken by it to reach Q and also find the distance between P and Q.

Question

$(A) \; \frac{32}{3} m$
$(B) \; \frac{16}{3} m$
$(C)\; \frac{22}{3} m$
$(D)\; \frac{28}{3} m$