Solving Baseball Field Geometry: Understanding Distance and Speed

booya123
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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 25 ft/s.

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(a) At what rate is his distance from second base decreasing when he is halfway to first base?
? ft/s

(b) At what rate is his distance from third base increasing at the same moment?
? ft/s
 
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What is your attempt at the solution to this problem?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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