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1)A baseball diamond is a square with side 90ft. A batter hits the ball and runs towards first base with a speed of 29 ft/s.

a) At what rate is his distance from second base decreasing when he is halfway to first base?
b) At what rate is his distance from third base increasing at the same moment?

2)A kite 100ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200ft of string has been let out?

 

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