A particle with charge q$=+2$e 

 

and mass m$=6\mathrm{.}22$times $10\mathrm{??}26$kg

is injected horizontally with a speed of $0\mathrm{.}58$times $106$m$/$s

into the region between two parallel horizontal plates. The plates are $24\mathrm{.}6$cm

long and an unknown distance d

apart. The particle is injected midway between the top and bottom plates. The top plate is negatively charged, and the bottom plate is positively charged, so that there is an upward$-$directed electric field between the plates of magnitude E$=42\mathrm{.}4$kN$/$C

$.$ Ignore the weight of the p article. Part $($a$)$ How long, in seconds, does it take for the particle to pass through the region between the plates? Part $($b$)$ When the particle exits the region between the plates, what will be the magnitude of its vertical displacement, in millimeters, from its entry height?