Horizontal plate fields physics

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Homework Statement


Two sets of parallel plates can be used to accelerate and direct an electron. the first set of plates is arranged vertically. the distance separating these plates is 5.5 cm . the potential difference between these plates is 260V. the electron starts from rest on the left vertical plate and accelerates through the field through a tiny opening on the opposite plate. at this point, the electrons enters horizontal plates. A distance of 10cm separates the horizontal plates.the potential difference between these plates is 550 V.

A) with what velocity will the electron enter the horizontal plates?
b) if the electron enters the horizontal plates half way between them and assuming that the horizontal length of the plates is 14.0 cm, will it leave the plates? prove it.
c) if the electron enters the horizontal plates halfway between them, what would the horizontal length of the plates be if it were to just miss the top horizontal plate as it exits?
 
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You may need to put more work into this before someone decides to help. For example, how do you know that it won't leave the plates? Your proof towards this should guide your solution for part c.