during 5 sec the student falls = 10*5*5/2= 125 m
he is at 55 m from ground
his velocity -50 m/s .
velocity of student w.r.t superman = -50-(-v0)
= v0-50
since student reaches ground in 1 s
v-50 ≥ 125/1
=> v ≥ 175 m/s
for superman to catch juct before reaching ground
v0 = 175 m/s
is my solution correct?