A boat is pulled into a dock by a rope attached to the bow (front end) of the boat and passing through a pulley on the dock that is 4 m higher than the bow of the boat. If the rope is pulled in at a rate of 3 m/s, at what speed is the boat approaching the dock when it is 8 m from the dock?

Question

A boat is pulled into a dock by a rope attached to the bow (front end) of the boat and passing through a pulley on the dock that is 4 m higher than the bow of the boat.  If the rope is pulled in at a rate of 3 m/s, at what speed is the boat approaching the dock when it is 8 m from the dock?

Steve · Answer

This very problem, with different numbers, is done at http://www.jiskha.com/display.cgi?id=1359912482 fill in your values and things should drop right out. See related problems below.