# Impulse and Momentum Calculator

This impulse and momentum calculator will help you analyze any object in motion. You will learn how to calculate impulse in three ways:

- knowing the change in velocity of a body,
- knowing the time a force acts on this body and
- simply from the change of momentum.

Keep reading to learn the impulse equation, and never worry about calculating momentum again!

## Formula for momentum

Momentum `p`

is a vector value defined as the product of the mass `m`

and velocity `v`

of an object:

`p = mv`

The change of a body's momentum is called impulse `J`

:

`J = Δp = p₂ - p₁ = mv₂ - mv₁ = mΔv`

Delta (Δ) is a symbol that means "change". For example, while `p`

is the instantaneous momentum, `Δp`

depicts the change of momentum that occurred over some period of time.

Head over to the conservation of momentum calculator to discover the practical applications of momentum.

## Impulse equation

The impulse of a body is the product of time `t`

and force `F`

acting on that body:

`J = Ft`

Units of both momentum and impulse are newton-seconds (symbol: N·s) expressed as `kg·m/s`

in SI units.

Check if you can derive the above impulse equation from the formula `J = mΔv`

. Hint: you will have to use the definition of acceleration and Newton's second law.

## How to calculate impulse

- You can type the
**initial**and**final momentum**values into our calculator to find the impulse directly from the impulse formula`J = Δp`

. - You can also enter the values of
**mas**s and**velocity change**of an object to calculate the impulse from the equation`J = mΔv`

. - If you know the force acting on the object, enter the values of
**force**and**time change**instead. Our impulse and momentum calculator will use the`J = Ft`

formula.

The concept of impulse is connected to kinetic energy - make sure to read about it as well!