A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 5 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 120 ft of rope is out? The boat will be approaching the dock at ft/min. Hint. Sketch a diagram of this situation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A boat is pulled into a dock by means of a rope attached to a pulley on the dock, The rope is attached to the front of the boat, which is 5 feet below the level of the pulley. If
the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 120 ft of rope is out?
The boat will be approaching the dock at
ft/min
Hint. Sketch a diagram of this situation.
Transcribed Image Text:A boat is pulled into a dock by means of a rope attached to a pulley on the dock, The rope is attached to the front of the boat, which is 5 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 120 ft of rope is out? The boat will be approaching the dock at ft/min Hint. Sketch a diagram of this situation.
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