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You're standing at the bottom of a tall building and your friend is at the top....

You're standing at the bottom of a tall building and your friend is at the top. The height of the building is 15 m. She drops a ball to you.

The moment she lets go of the ball, you toss a second ball up in the air. You want to be able to catch both balls at the same time (you're auditioning for a spot on the US Olympic juggling team and you think this will impress the scout).

At what initial velocity should you throw the second ball in the air so that you can catch it at the same instant you catch the first ball?

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