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Relativistic Velocity Addition Calculator

Add two velocities using special relativity.

Inputs

Results

Combined velocity0.9756098c

Chart

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How to use the relativistic velocity addition calculator

Add two velocities using special relativity. Enter velocity 1 (fraction of c), velocity 2 (fraction of c) in the fields above; the combined velocity is computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Combined velocity (c) = (u+v) / (1+u Γ— v)

Variables

  • u β€” Velocity 1 (fraction of c)
  • v β€” Velocity 2 (fraction of c)

Worked example

With velocity 1 (fraction of c) = 0.8, velocity 2 (fraction of c) = 0.8, the calculator gives combined velocity β‰ˆ 0.9756098 c.

Frequently asked questions

What is the formula for the relativistic velocity addition calculation?

Combined velocity (c) = (u+v) / (1+u Γ— v). Here u is velocity 1 (fraction of c), v is velocity 2 (fraction of c).

What inputs do I need for the relativistic velocity addition calculator?

You need velocity 1 (fraction of c), velocity 2 (fraction of c). Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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