Question 1163925
The height h, is given by:
h = v0*t + 1/2a*t^2
Since v0 = 0, we have h = 1/2a*t^2
t = sqrt(2h/a) = sqrt(2000/0.5) = 63.25 ~ 63 s
For the final velocity use v1 = v0 + at -> v1 = 0.5*63.25 = 31.62 ~ 32 m/s