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.

Posted by Richard
on 20040227 16:11:13 