# How does acceleration affect momentum?

##### 1 Answer

According to Newton's second law:

*If a body is acted upon by a force, the time rate of variation of the body's momentum equals the force.*

This sentence seems a bit hostile if not interpreted, so i will try to make it clear.

To get started, let's state this two equations:

**If a body is acted upon by a force,...:**

This sentence is our hypothesis, which means this is the given condition of the body.

**...the time rate of variation of the body's momentum...:**

This sentence requires from us the concept of derivative, but if you have not had a course of calculus yet, do not worry.

Time rate of variation of the momentum is how

**...equals the force.**

Let

Then, the acceleration times the mass equals the variation of the body's momentum in time.

**Example:**

A sphere of mass

If it's velocity at

**Solution:**

Hope it helps.