A clock's minute hand has length 4 and its hour hand length 3.
What is the distance between the tips at the moment when it is increasing most rapidly?
(In reply to
calculus based solution by red_sox_fan_032003)
You write "note minute hand moves 60 times faster than hour hand." A careful analysis shows that the minute hand only moves 12 times faster than the hour hand. For when the hour hand moves from 12 to 1, it moves 1/12 of 360 degrees and in the same time the minute hand moves the full 360 degrees. But this may have no bearing on the problem at hand anyway.
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Posted by Richard
on 2004-02-27 16:11:13 |