Answer
The elevator passes the halfway point with a speed of $~~34.3~m/s$
Work Step by Step
We can find the speed when the elevator is halfway down:
$v^2 = v_0^2+2ay$
$v^2 = 0+2ay$
$v = \sqrt{2ay}$
$v = \sqrt{(2)(9.8~m/s^2)(60~m)}$
$v = 34.3~m/s$
The elevator passes the halfway point with a speed of $~~34.3~m/s$.
