Posted by so CONFUSED! on Sunday, February 14, 2010 at 12:54am.
It is not clear what they are asking for. Does the particle start with zero velocity? You ask for a final velocity and yet they tell you what the final speed is. The velocity direction will remain along the axis, if it started out that way.
The E field will be uniform as the charge moves the first 0.03 m away from the surface , and then vary with 1/x^2 as the distance from the surface exceeds 0.3 m.
The negative work done on the particle means there is an attractive force to the plate, so it is always slowing down.
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