The formula to calculate the warp speed velocity is:
\[ \text{v} = w^{\frac{10}{3}} \times c \]
Where:
Warp speed refers to the faster-than-light travel used in the Star Trek universe. It is a fictional concept where spaceships can travel at speeds exceeding the speed of light by warping space-time.
Let's consider an example:
Using the formula to calculate the velocity:
\[ \text{v} = 2^{\frac{10}{3}} \times 299792458 \approx 3.02 \times 299792458 \approx 3,021,718,627.47 \text{ m/s} \]
This means that at warp factor 2, the velocity is approximately 3,021,718,627.47 m/s.