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Boat and Rope Related Rates

Adjust the slider to illustrate the following related rates problem: A boat is pulled into a dock through a pulley that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?

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From a problem in J. Stewart, Calculus: Early Transcendentals, 4th ed., 1999 p. 257, #14.

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"Boat and Rope Related Rates" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/BoatAndRopeRelatedRates/
Contributed by: Jamie Ding and Matt Schotz (Torrey Pines High School)




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