Enter the velocity and angles of up to 5 different velocities into the calculator to determine the resultant velocity.

Resultant Velocity Formula

The following formula is used to calculate a resultant velocity.

Vm = Sum Sqrt(Vxi^2+VYj^2)
  • Where Vm is the resultant velocity magnitude
  • Vxi are all of the x-component of velocities
  • Vyj are all of the y-component of velocities

To calculate the magnitude of the resultant velocity, add together all of the x-component values and square the result. Do the same for the y-components, then add this to the previous value. Finally, take the square root of that result to get the magnitude.

Va = Tan^-1 (Vx/Vy)

  • Where Va is the angle of the resultant velocity
  • Vx is the magnitude of the x-component of the resultant velocity
  • Vy is the magnitude of the y-component of the resultant velocity

Resultant Velocity Definition

A resultant velocity is the equivalent velocity of the combination of 2 or more velocities in different directions.

Is resultant velocity the same as final velocity?

The resultant velocity of a system can be considered the same as the final velocity. The resultant velocity is another word for net velocity.

How to calculate resultant velocity?

To calculate the resultant velocity, first, you must break up each individual velocity into its magnitude and direction vector. Then break down each velocity into x and y components. Next, add together all of the x components and add together all of the y components. From these final x and y components, calculate the magnitude and direction of the resultant velocity.


What is a resultant velocity?

A resultant velocity is the net velocity of a combination of two more more velocities of certain magnitudes and directions.