# How fast is the boat approaching the dock?

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1m higher than the bow of the boat. If the rope is pulled in at a rate of 1m/s, how fast is the boat approaching the dock when it is 8m from the dock?

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#### Solution Summary

This solution shows how to solve the word problem using differentiation in an attached Word document.

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