# Momentum and kinetic energy

if you differentiate kinetic energy wrt. to velocity, you will get momentum as the result.

what i wanted to ask is that, how can this physically explained? that kinetic energy can be viewed as the rate of change of momentum for a change in velocity? is there any analogy?

## Answers and Replies

The derivation of energy conservation is where this comes from. You start with Newton's laws, then integrate basically with respect to the velocity, and what comes out is the kinetic energy on the ma side and potential energy on the other side. That's why it comes out that way.

robphy
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