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