A self-propelled vehicle of mass m, whose engine delivers a constant power P, has an acceleration `a = (P//mv)`. (Assume that there is no friction). In order to increase its velocity from `v_(1)` to `v_(2)`, the distan~e it has to travel will be:
A. `(3P)/(m) (v_(2)^(2) - v_(1)^(2))`
B. `(m)/(3P) (v_(2)^(3) - v_(1)^(3))`
C. `(m)/(3P) (v_(2)^(2) - v_(1)^(2))`
D. `(m)/(3P) (V_(2) - v_(1))^(3)`
