**Question **# 3. Inside of a parallel plate capacitor (area A, plate separation d, and charge Q), an electron is launched vertically upward with speed v from the positive plate towards the negative plate. It slows down,stops moving, and then moves back to the positive plate, as drawn to the right. a. Derive an equation for the maximum speed the electron can have so that it does not hit the negative plate. Explain how you arrived at your equation. b. Verify that your equation has the correct units. c. Sketch the graph of your equation as a function of the total charge, Q, on the plates. d. Calculate the electron's maximum speed if the plates have an area of 9.0×10 m², total charge 6.5nC, and are separated by 15×10-ºm.