Enter the magnitude and angle of two velocities into the calculator to determine the true velocity.

True Velocity Formula

The following equation is used to calculate the True Velocity.

Tv = SQRT ( (X1+X2)^2 + (Y1+Y2)^2)

  • Where Tv is the true velocity (m/s)
  • X1 and X2 are the x-components of velocity
  • Y1 and Y2 are the y-components of velocity

What is a True Velocity?


A true velocity describes the true magnitude and direction of the combination of two or more velocities.

How to Calculate True Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate True Velocity.

First, determine the x-components of velocity . In this example, the x-components of velocity are 30 m/s and 40 m/s

Next, determine the y-components of velocity. For this problem, the y-components of velocity are 20 m/s and 30m/s.

Finally, calculate the true velocity using the formula above:

Tv = SQRT ( (X1+X2)^2 + (Y1+Y2)^2)

Tv = SQRT ( (30+40)^2 + (20+30)^2)

Tv = 86.02 m/s