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A clock's minute hand has length 5 cm and its hour hand has lenght 4 cm. what is the distance between the ....?
A clock's minute hand has length 5 cm and its hour hand has length 4 cm. What is the distance between the....
....tips of the hands at the moment when that distance is increasing most rapidly?
1 Answer
- BBMollyLv 57 years agoFavorite Answer
The angle, θ, between them, with t=0 at noon, is 2pi*(t/60 - t/720) = 11pit/360. By the law of cosines, the squared distance between the tips is 16+25 - 40 cos(11pit/360). dD^2/dt=(11pi/9)*sin(11pit/360). This gives a max when 11pit/360 = 0. So it's at t=0 and the distance between the tips is 1 cm.
