An automobile moves on a road with a speed of $54\; km\; h^{–1}$. The radius of its wheels is $0.45 \;m$ and the moment of inertia of the wheel about its axis of rotation is $3\; kg \;m^2$. If thevehicle is brought to rest in $15s$, the magnitude of average torque transmitted by its brakes to the wheel is :

Question

( A ) $2.86\;kg \; m^2\;s^{-2}$
( B ) $8.58\;kg \; m^2\;s^{-2}$
( C ) $-6.66\;kg \; m^2\;s^{-2}$
( D ) $10.86\;kg \; m^2\;s^{-2}$