# Derivation of Kinetic Energy

 Mentor P: 41,578 I suspect you are thinking of the "work-energy" theorem, in which one integrates the net force on an object over the distance traveled to obtain the change in KE. Start with Newton's 2nd law: $$F = m \frac{dv}{dt}$$ $$\int F dx = \int m \frac{dv}{dt} dx = m \int \frac{dx}{dt} dv = m \int v dv$$ I'll leave the last step to you.