Answer
The sphere is in free fall for a time of $~~5.44~s$
Work Step by Step
We can find the time the sphere is in free fall:
$y = \frac{1}{2}at^2$
$t = \sqrt{\frac{2y}{a}}$
$t = \sqrt{\frac{(2)(145~m)}{9.8~m/s^2}}$
$t = 5.44~s$
The sphere is in free fall for a time of $~~5.44~s$.