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We investigate the velocity vs. position phase space of z ~ 1 clustergalaxies using a set of 424 spectroscopic redshifts in 9 clusters drawn fromthe GCLASS survey. Dividing the galaxy population into three categories:quiescent, star-forming, and poststarburst, we find that these populations havedistinct distributions in phase space. Most striking are the poststarburstgalaxies, which are commonly found at small clustercentric radii with highclustercentric velocities, and appear to trace a coherent ``ring" in phasespace. Using several zoom simulations of clusters we show that the coherentdistribution of the poststarbursts can be reasonably well-reproduced using asimple quenching scenario. Specifically, the phase space is best reproduced ifsatellite quenching occurs on a rapid timescale (0.1 < tau_{Q} < 0.5 Gyr) aftergalaxies make their first passage of R ~ 0.5R_{200}, a process that takes atotal time of ~ 1 Gyr after first infall. We compare this quenching timescaleto the timescale implied by the stellar populations of the poststarburstgalaxies and find that the poststarburst spectra are well-fit by a rapidquenching (tau_{Q} = 0.4^{+0.3}_{-0.4} Gyr) of a typical star-forming galaxy.The similarity between the quenching timescales derived from these independentindicators is a strong consistency check of the quenching model. Given that themodel implies satellite quenching is rapid, and occurs well within R_{200},this would suggest that ram-pressure stripping of either the hot or cold gascomponent of galaxies are the most plausible candidates for the physicalmechanism. The high cold gas consumption rates at z ~ 1 make it difficult todetermine if hot or cold gas stripping is dominant; however, measurements ofthe redshift evolution of the satellite quenching timescale and location may becapable of distinguishing between the two.

The Phase Space and Stellar Populations of Cluster Galaxies at z ~ 1: Simultaneous Constraints on the Location and Timescale of Satellite Quenching