Bird Problem

Laurie is standing on the edge of a cliff at a height of $h$ above Orlando. Laurie runs horizontally away from Orlando at constant speed just as he throws a ball towards her. The ball reaches a height of $2h,$ and then Laurie catches the ball as it falls.

What is the ratio of Laurie's speed to the ball's horizontal speed?

Details and Assumptions:

• Treat the ball and each person as points.
• There is downward gravitational acceleration $g.$
• Neglect air resistance.
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