When a charge flies between the plates of a parallel-plate capacitor that is charged up, the particle will essentially be in a uniform electric field. This means there is a constant electric force, F = qE, and therefore we have a condition similar to a ball rolling off a table. The charge will move in a parabolic path as if it were a projectile...it has a constant horizontal speed, and a constant vertical acceleration. Check this out to remind yourself how to do the mechanics of a projectile.
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