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.
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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)
To calculate the relativistic velocity, divide the sum of the velocities by the result of 1 plus the product of the velocity of A to C times the velocity from B to A divided by the speed of light sqauared.
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?
- First, determine the velocity of object A.
For this example, object A is moving at a speed of 225,000,000 m/s.
- Next, determine the velocity of object B relative to object A.
In this case, object B is moving at 200,000,000 m/s.
- 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
