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 Like Clockwork (Posted on 2004-02-27)
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?

 See The Solution Submitted by DJ Rating: 4.0000 (9 votes)

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 why calculus | Comment 17 of 29 |
Why is this in the calculus section? I used simple geometry and A²+B²=C². Once you understand that the angle changes at a uniform rate and that the orientation of the triangle is meaningless the rest is easy. If the minute hand doesn't move at what point is the end of the hour hand moving directly away from the end of the minute hand? When it is at 90° to the unknown segment!

Edited on February 28, 2004, 9:22 pm

Edited on February 28, 2004, 9:36 pm
Edited on February 28, 2004, 9:46 pm
 Posted by Dan Porter on 2004-02-28 21:12:58

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