Formula One cars are the fastest open-wheel racing cars in the world. An F138 Ferrari Formula One car has a top speed of \(360 \mathrm{~km} / \mathrm{hr}\). The frontal area of the car is \(1.0 \mathrm{~m}^{2}\) and the drag coefficient of the car is 1.0. The car, along with its driver and fuel, weighs \(650 \mathrm{~kg}\).

The drag force on the car be given by the following formula:

\[F_{D}=\frac{1}{2} C_{D} A_{f} v^{2}\]

a. Calculate the maximum power output of the car. Assume that the power goes completely toward overcoming the drag force on the car.

b. Calculate the top speed of a Bugatti Veyron Super Sport with a maximum power output of \(883 \mathrm{~kW}\). The frontal area of the car is \(2.6 \mathrm{~m}^{2}\) and the drag coefficient of the car is 0.4 . The car and its driver weigh \(1900 \mathrm{kgs}\).

c. Which car is likely to win a drag race on a straight \(3 \mathrm{~km}\) track?