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.

Answer

`x]_(t=4) = 4^(2)(2-(4)/(3)) = 16((2)/(3)) = (32)/(3)m`