The mass of a car is 1 500 kg. The shape of the body is such that its aerodynamic drag coefficient is D = 0.330 and the frontal area is 2.50 m2. Assuming that the drag force is proportional to v2 and neglecting other sources of friction, calculate the power required to maintain a speed of 100 km/h as the car climbs a long hill sloping at 3.20°.