Angle of Electron Velocity Change: 8 Degrees

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The problem involves an electron traveling through deflection plates with an electric field of 4000 N/C. To find the angle of deflection, the acceleration of the electron must first be calculated using the electric field. The time the electron spends in the electric field is determined by its speed and the length of the field region. After calculating the change in velocity, the angle can be found using inverse tangent functions. The final result indicates that the angle of deflection is 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?*



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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.
 
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