Velocity change
Initial velocity
Final velocity
Time change
Impulse and momentum
Initial momentum
Final momentum

Impulse and Momentum Calculator

By Bogna Haponiuk

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

  1. You can type the values of initial and final momentum into our calculator to find the impulse directly from the impulse formula J = Δp.
  2. You can also enter the values of mass and velocity change of an object to calculate the impulse from the equation J = m * Δv.
  3. 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!

Bogna Haponiuk

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Impulse and Momentum Calculator