Suppose two plates lie in parallel horizontal planes, one plate in the \(x y\) plane at \(z=0\) and the other plate in the plane that is parallel to the \(x y\) plane at \(z=10 \mathrm{~mm}\). Between the plates is a constant electric field directed vertically upward (that is, in the positive \(z\) direction). A proton and an electron are launched in the positive \(x\) direction with the same initial velocity from position \((0,0,5.0 \mathrm{~mm})\). If the proton strikes a plate at \((200 \mathrm{~mm}, 0,10 \mathrm{~mm})\), where does the electron strike?