Solve the Problem $v$ (In $\mathrm{mph}$ ) When the Brakes Are Applied, the Distance

Multiple Choice

Solve the problem.
-For a motorcycle traveling at speed $v$ (in $\mathrm{mph}$ ) when the brakes are applied, the distance $d$ (in feet) required to stop the motorcycle may be approximated by the formula $d=0.05 v^{2}+v$ . Find the instantaneous rate of change of distance with respect to velocity when the speed is $44 \mathrm{mph}$ .

A) $5.4 \mathrm{mph}$
B) $10.8 \mathrm{mph}$
C) $4.4 \mathrm{mph}$
D) $45 \mathrm{mph}$