A $1700$ kg car moves along a horizontal road at speed v$\mathrm{₀}=10\mathrm{.}2$ m$/$s$.$ The road is wet, so the static friction coefficient between the tires and the road is only s $=0\mathrm{.}133$ and the kinetic friction coefficient is even lower, k $=0\mathrm{.}0931.$ The acceleration of gravity is $9\mathrm{.}8$ m$/$s .What is the shortest possible stopping distance for the car under such conditions?