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Like Clockwork (Posted on 2004-02-27) Difficulty: 4 of 5
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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Solution classic distance | Comment 9 of 29 |
ans : 5 (units)
sol: f=dist^2=25-24cosA
If distance increases most rapidly so does its square.
therefore we can differentiate f ( dist^2):
f'=24sinA
f''=-24cosA=0
cosA=0=====> A=90,270 DEGREES

Pythagoras he say: dist=5

ady
  Posted by Ady TZIDON on 2004-02-27 18:38:23
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