Angle of Electron Velocity Change: 8 Degrees

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Homework Statement


An electron is fired through a pair of deflection plates, which produce a 2.00 cm long region with an electric field of 4000 N/C perpendicular to the electron's initial velocity. If the initial speed of the electron is 1.00 × 107 m/s, what angle will its new velocity make with the direction of the original velocity?*



Homework Equations





The Attempt at a Solution



I know it's 8 degrees (multiple choice question) I just don't even know where to start with this. I imagine I'm going to have to use an inverse tan eventually.
 
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Start by expressing the acceleration of the electron due to the electric field. Next, determine how long the electron would experience this acceleration.