I'm terrible at calculus and am trying an exercise to hopefully help me understand it better. I want to derive the equations of acceleration, velocity and position of a car with known power and mass. As the car's speed increases, the acceleration will decrease.(adsbygoogle = window.adsbygoogle || []).push({});

force = mass/acceleration

power = force*velocity

So acceleration = power/(velocity*mass)

velocity = ?

position = ?

The integral of acceleration is the velocity but how is the integral done in this case since velocity is an unknown function?

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# Deriving equations of motion from power and mass

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