A plane can fly by tilting the trailing edge of the wings downward by a small angle \theta, called the angle of attack. In still air, a plane with ground speed v will have a lift force proportional to v^{2} \theta and a drag force is proportional to v^{2}. Consider a plane initially in level flight in still air with constant ground speed v. If the plane enters a region with a tailwind with speed w<v (the wind is blowing in the same direction that the plane wants to fly), how must the engine power and the angle of attack change for the plane to maintain level flight at the same ground speed?
Answer Choices
A. The engine power decreases and the angle of attack decreases
B. The engine power decreases and the angle of attack stays the same
C. The engine power decreases and the angle of attack increases
D. The engine power increases and the angle of attack decreases
E. The engine power increases and the angle of attack increases