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Related Rates: A Boat Approaching a Dock

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A boat is being pulled into a dock by a rope attached 1 meter above the plane of the bow. At what speed is the boat approaching the dock at given distances?

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Contributed by: Jamie Ding (Torrey Pines High School) (January 2008)
Open content licensed under CC BY-NC-SA

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Based on a problem in: J. Stewart, Calculus: Early Transcendentals, 4th ed., Pacific Grove, CA: Brooks/Cole, 1999.

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