Consider a particle of charge q = 1.5 C and mass m = 1.6 kg passing through the region between a pair of infinitely long horizontal plates separated by a distance d = 1.5 m with a uniform electric field strength E = 36 N/C directed in the downwards direction (-y direction). The particle begins moving horizontally with an initial velocity of v = 35 m/s from a position halfway between the plates. How far horizontally, in meters, will the particle travel before striking one of the plates?