Two parallel, metal plates with separation distance $d=1\mathrm{.}00cm$ carry charges of equal magnitude but opposite sign. The plates are oriented horizontally. Assume the electric field between the plates is uniform, and it has a magnitude of $1,840$ N$/$C$.$ A charged particle with mass $2\mathrm{.}00{10}^{-16}kg$ and charge $1\mathrm{.}10{10}^{-6}C$ is projected from the center of the bottom negative plate with an initial speed of $1\mathrm{.}11{10}^5\frac{m}{s}$ at an angle of $37\mathrm{.}0$ above the horizontal. Assume the plates are square with side length $=20\mathrm{.}0cm.$

$($a$)$ Describe the trajectory of the particle.

a parabola

a helix

a circle

a straight line

$($b$)$ Which plate does it strike?

negative plate

positive plate

It does not strike either plate.

$($c$)$ Where does it strike, relative to its starting point? $($Enter the horizontal distance from the initial position, in $m.$ If it does not strike either plate, enter $0.)$

$m$

$($d$)$ What If$?$ What is the minimum initial speed $($in $\frac{m}{s})$ the particle must have in order to change the answer to part $($b$)?$

$\frac{m}{s}$