addition of velocities formula

The Addition of Velocities Formula is a consequence of the Lorentz transformations under the special theory of relativity. Due to the time and distance distortions that must be attributed when citing measurements of a frame that is in motion relative to the observer's frame, velocities cannot be added with plain arithmetic, but must employ a more complex formula. Given two velocities,

v\,

and

u\,

, the summation of these results in:

\frac{v+u}{1+\frac{vu}{c^2}}

Where

c

represents the speed of light. A feature of the formula is that no summation of velocities ever exceeds

c

, even if both addends should equal

c

. For velocities far less than lightspeed, the formulated summation reduces to regular arithmetic addition.

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