The figure below shows an electron passing between two charged metal plates that create an $100$ N$/$C vertical electric field perpendicular to the electron's original horizontal velocity $($these can be used to change the electron's direction such as an oscilloscope.$)$

The initial speed of the electron is $1\mathrm{.}00{10}^7\frac{m}{s},$ and the horizontal distance it travels in the uniform field is $3\mathrm{.}00cm.$

$($a$)$ What is its vertical deflection in meters?

$($b$)$ What is the vertical component of its final velocity in meters per second?

$\frac{m}{s}$

$($c$)$ At what angle $$ does it exit? Neglect any edge effects.