The Drag Force Acting on a Car Can Be Modeled $F_{d}=\frac{1}{2} C_{d} \rho V^{2} A$

Multiple Choice

The drag force acting on a car can be modeled using the following function: $F_{d}=\frac{1}{2} C_{d} \rho V^{2} A$
where $F _ { d } =$ drag force
$C _ { d } =$ drag coefficient
$\rho =$ air density
$V =$ speed of car relative to air
$A =$ frontal area of car The power P required to overcome air resistance can be modeled according to $P = F _ { d } V .$ When analyzing power as a function of velocity P(V) , what order is the resulting function?

A) first order
B) second order
C) third order
D) none of the above