Physics

Velocity Addition Calculator

Add velocities the relativistic way.

Parameters Live Compute
Calculated Output
Combined velocity (c) 0.8824
Formula: w = (u + v) ÷ (1 + u·v/c²)
Step-by-Step Breakdown
1. Values used:
2. Velocity u (fraction of c) = 0.6 c
3. Velocity v (fraction of c) = 0.6 c
4.
5. Combined velocity = 0.8824c
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Velocities don't simply add near light speed — relativity keeps the result below c.

The math behind it

w = (u + v) ÷ (1 + uv/c²), using fractions of c. The result never exceeds c.

Worked Example

0.6c + 0.6c → about 0.882c, not 1.2c.

Frequently Asked Questions

What if one velocity is c?

The result is exactly c — light moves at c in every frame.

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