## What Happens When Things Go Near the Speed
of Light?

Advanced Analysis: Deriving the formula for g

### Why do faster moving particles go even farther that you
expect?

Do particles live longer if they are moving very
fast?

Physicists
use a
relativistic correction factor, which they represent by the Greek letter
gamma (g), to calculate the
distance. You can derive the formula for g by
analyzing the Fermilab and Monte Carlo data.

You will:

- Examine a plot of the lifetimes vs. the decay length of the mesons.

- Determine the shape of that plot.

- Use the mathematical form of the plot to derive g.

**Consider a different type of
plot.**