Power to a vehicle moving along a track is alpha*x^1/2. No dissipation. alpha is constant x is distance from beginning of the track. zero initial velocity.(adsbygoogle = window.adsbygoogle || []).push({});

What is Velocity as function of position?

P=d KE/dt

P=d(1/2 m v^2)/dt

P=1/2 m d((dx/dt)^2)/dt

P=1/2 m 2 v dv/dt

alpha x^1/2 = 1/2 m 2 v dv/dt

And that is as far as I get. After some random manipulations I was not able to yield anything useful. Some assistance or guidance would be greatly appreciated. Thank you.

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# Homework Help: Power as function of position

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