An entertainer juggles balls while doing other activities. In one act, she throws a ball vertically upward, and while it is in the air, she runs to and from a table 5.50 m away at a constant speed of 2.50 m/s, returning just in time to catch the falling ball.

(a) With what minimum initial speed must she throw the ball upward to accomplish this feat?

(b) How high above its initial position is the ball just as she reaches the table?