Determine the maximum theoretical speed that a $1,225$ kg automobile starting from rest can reach after traveling $400$ m if air resistance is considered. Assume that the coefficient of static friction between the tires and the pavement is $0\mathrm{.}70,$ that the automobile has front$-$wheel drive, that the front wheels support $62$ percent of the automobile$$s weight, and that the aerodynamic drag D has a magnitude D$=0\mathrm{.}925$ v$2$

$,$ where D and v are expressed in newtons and m$/$s$,$ respectively.

The maximum theoretical speed is

km$/$h$.$