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A basketball leaves a player's hands at a height of 2.20 {m} above the floor. The basket is 3.05 {m} above the floor. The player likes to shoot the ball at a 37.0 degree angle.

If the shot is made from a horizontal distance of 11.00 {m} and must be accurate to plus or minus 0.12 {m} (horizontally), what is the range of initial speeds allowed to make the basket?

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