Question $3$

$1$ pts

An unstable high$-$energy particle is created in the laboratory, and it moves at a speed of $0\mathrm{.}989$ c $.$ Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of $1\mathrm{.}67{10}^{2}m$ before disintegrating. What is the distance measured by a hypothetical person traveling with the particle?

$($Hint: In this case, the proper time is associated with the particle's frame of reference.$)$

Round to $3$ sig figs.