The amount of energy a car expends against air resistance is approximately given by
where E is measure in Joules, ρairis the density of air (1.2 kg/m3), A is the cross-sectional area of the car viewed from the front (in m2), D is the distance traveled (in m), and v is the speed of the car (in m/s). Julie wants to drive from Tucson to Phoenix and get good gas mileage. For the following questions, assume that the energy loss is due solely to air resistance, and there is no wind.
If Julie increases her speed from 30 mph to 60 mph, how does the energy required to travel from Tucson to Phoenix change?