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. 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?