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A game booth at a carnival invites contestants to strike a softball affixed to the bottom end of a lightweight stick 1.25 m long whose opposite end is attached to a frictionless, horizontal axle in such a way that the ball and stick are able to swing around in a full circle. If the ball and stick are initially at rest and hanging straight down, what is the minimum speed the softball must have after it is struck for the contestant to win?

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