Relativistic Velocity Addition Calculator
Add velocities using Einstein's relativistic velocity addition formula
Velocity Addition: u ⊕ v
Relativistic Result
0.800320057c
2.3994e+8 m/s
✓ Always < c
Classical Result (Galilean)
1.000667111c
3.0000e+8 m/s
⚠ Would exceed c
Difference from Classical
20.0213%
Result Lorentz Factor γ
1.667854
Example Calculations (u + v)
| u (c) | v (c) | Classical u+v (c) | Relativistic (c) |
|---|---|---|---|
| 0.50 | 0.50 | 1.0000 | 0.800000 |
| 0.90 | 0.90 | 1.8000 | 0.994475 |
| 0.99 | 0.99 | 1.9800 | 0.999949 |
| 1.00 | 1.00 | 2.0000 | 1.000000 |
About Relativistic Velocity Addition
Einstein's velocity addition formula is: w = (u + v) / (1 + uv/c²). Unlike Galilean addition (w = u + v), this formula ensures the result never exceeds c. When either u or v equals c, the result is always c. This maintains the principle that the speed of light is constant in all reference frames.
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Editorial Note
MyCalcBuddy Editorial Team
This page is maintained as an educational calculator reference.
Formula Source: University Physics
by Young & Freedman