# Adventures in Parallel Dimension #1729 I

In parallel dimension #1729, CALVIN National Laboratories has discovered a new unstable sub-atomic particle, the Biggs Hoson, which resulted from a high-energy collision between two stable sub-atomic particles in a collision chamber similar to the one at CERN (pictured below).

Thanks to parallel dimensions #1729's awesome technology, they were able to trace the path of the Biggs Hoson after it was born and found that the arc length of its trajectory was exactly $$1$$ meter before decaying, and that its lifespan at rest was exactly $$10^{-9}$$ seconds.

If $$v_{0}$$ is the average speed of the Biggs Hoson after the collision, what is the value of $$\dfrac{v_{0}}{c}$$ rounded to 3 decimal places?

Details and Assumptions:

• $$c$$ is the speed of light, which also happens to be $$\si{3\times10^8} \si[per-mode=symbol]{\metre\per\second}$$ in parallel dimension #1729.
• Light speed is still the universal speed limit. Nothing can travel faster than a photon, and it always travels at $$c$$ relative to any intertial observer.

×