# 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 the 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 = m * v`

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

:

`J = Δp = p₂ - p₁ = m * v₂ - m * v₁ = m * Δv`

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

## Impulse equation

Impulse of a body is the product of time `t`

and force `F`

acting on that body:

`J = F * t`

Units of both momentum and impulse are newton-seconds (symbol: Ns), which are expressed as `kg*m/s)`

in SI units.

Check if you can derive the impulse equation above from the formula `J = m*Δv`

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

## How to calculate impulse

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

. - You can also enter the values of mass and velocity change of an object to calculate the impulse from the equation
`J = m * Δv`

. - 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 = F * t`

formula.

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