The maximum deceleration your car may have is $0\mathrm{.}4$g$,$ where g is the gravitational acceleration and equals $32\mathrm{.}2$ ft$/$sec$/$sec$.$

As you are driving your car at $70$ mph$,$ you see that the traffic has stopped down the road. Immediately you hit the breaks. What is the shortest distance your car could come to a stop? Give your answer in feet and round it to the closest feet.