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

Multiple Choice

Solve the problem.
-Given a motorcycle traveling at speed $\mathrm{v}$ (in $\mathrm{mph}$ ) when the brakes are applied, the distance $\mathrm{d}$ (in feet) required to stop the motorcycle may be approximated by the formula $\mathrm{d}=0.05 \mathrm{v}^{2}+\mathrm{v}$ . Estimate the instantaneous rate of change of distance with respect to velocity when the speed is $41 \mathrm{mph}$ . (Round to one decimal.)

A) $5.1 \mathrm{feet} / \mathrm{mph}$
B) 42.0 feet $/ \mathrm{mph}$
C) $10.2 \mathrm{feet} / \mathrm{mph}$
D) 4.1 feet $/ \mathrm{mph}$