A baseball diamond is a square with side 90 feet. A batter hits the ball...

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A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base with a speed of 31 ft/s.(a) At what rate (in ft/s) is his distance from second base decreasing when he is halfway to first base? (b) At what rate (in ft/s) is his distance from third base increasing at the same moment?

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