Addition_of_Velocities_Formula Addition_of_Velocities_Formula

Addition of Velocities Formula - Definition

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, <math>v\,<math> and <math>u\,<math>, the summation of these results in:

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

Where c represents the speed of light.

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