Answer:
15.68 m/s
Step-by-step explanation:
Given that,
She catches the ball 3.2 s later at the same height from which it was thrown.
When it reaches the maximum height, its height is equal to 0.
It will move under the action of gravity.

2 here comes for the time of ascent and descent.
So,

So, the initial upward speed of the ball is 15.68 m/s.