Enter the velocity of an object relative to a static point and the velocity of an object relative to the first moving object to determine the relativistic velocity.

## Relativistic Velocity Formula

The following formula is used to calculate relativistic velocity.

s = ( v + u) / (1 + v*u/c^2)

• Where s is the relativistic velocity (m/s)
• v is the velocity of object A to a static point C (m/s)
• u is the velocity of object B to point A (m/s)
• c is the speed of light 299,792,458 (m/s)

## Relativistic Velocity Definition

A relativistic velocity is defined as the sum of velocities of two moving objects that are approaching the speed of light.

## Example Problem

how to calculate relativistic velocity sums?

1. First, determine the velocity of object A.

For this example, object A is moving at a speed of 225,000,000 m/s.

2. Next, determine the velocity of object B relative to object A.

In this case, object B is moving at 200,000,000 m/s.

3. Finally, calculate the relativistic velocity.

Using the formula above, the relativistic velocity is calculated to be:
s = ( 225000000+ 200000000) / (1 + 225000000 * 200000000 / 299792458^2)
s = 283202583.378 m/s