Question: A car goes up a slope that forms an angle alpha with the horizontal, expending power P and suffering friction with the air and

A car goes up a slope that forms an angle \alpha with the horizontal, expending power P and suffering friction with the air and the road. which turns out to be proportional to its instantaneous velocity, that is, \beta v(t). If the mass of the car is M, what is the maximum speed it reaches?

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