Answers
a) Since the field is vertical, the only force is vertical and the horizontal velocity does not change. Therefore t =d/vh = 0.047/(5.10*10^5) s
= 9.22*10^-8 s
b) the vertical displacement in time t is 0.5*a*t²; t you have from part a), and acceleration
a = F/m = q*E/mp ; where q = elemental charge, mp = proton mass
= 7.76*10^11
So,
d = 0.5*(7.76*10^11)*( 9.22*10^-8)^2
= 3.3*10^-3 m
c)
Vh = 5.10*10^5 m/s
v = a*t, a and t as computed above.
Vv = at = 7.15*10^4 m/s
.