Two particles oscillate in simple harmonic motion along a common straight$-$line segment of length $\mathrm{.}83$m$.$ Each particle has a period of $3\mathrm{.}2$s but they differ in phase by pi$/7$rad. How far apart are they $\mathrm{.}81$s after the lagging particle leaves one end of the path? Are they then moving in the same direction, toward each other, or away from each other?