A car of mass m has an engine that provides a constant power output P. Assuming no friction, what is the maximum constant speed v_{\max } that this car can drive up a long incline that makes an angle \theta with the horizontal?
Answer Choices
A. v_{\max }=P /(m g \sin \theta)
B. v_{\max }=P^{2} \sin \theta / m g
C. v_{\max }=\sqrt{2 P / m g} / \sin \theta
D. There is no maximum constant speed.
E. The maximum constant speed depends on the length of the incline.