Alphymus

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 θ with the horizontal?

(A) $v_{max} = P/(mg \sin θ)$
(B) $v_{max} = P^2 \sin θ/mg$
(C) $v_{max} = \sqrt{2P/mg} / \sin θ$
(D) There is no maximum constant speed.
(E) The maximum constant speed depends on the length of the incline.