We know the usual aerodynamic drag equation is given by: $$F_d = -bv^2$$ Where $b$ here is just some constants combination related to the property of the fluid and the material passing through.
My question is, how do we approximate the work done and hence the loss of energy caused by drag to some objects moving in the air? The motivation behind the question is I'm rather curious how much energy is required to move a car from rest to some particular speed with air resistance.
For example, knowing that the average weight of a car is 1 ton. If we wanted to accelerate the car from rest to say 100km/h in vacuum. The KE needed is just about 400 J, which (looking at fuel efficiency page in Wiki for say petrol at 34.8 MJ/L) will only require a minuscule amount of fuel like less than a thousandth of a liter, even if we have engine that has 0.1 efficiency. On the other hand we know that fuel mileage for ordinary car is a lot higher than that. Where all of the energy is gone?
Edit: The link suggested seems to show only the drag force and power at particular speed. I'm interested in knowing the total energy needed to overcome drag force starting from rest. (If I understand it wrong please correct me as well)