Change Is The Only Constant Thing On The Sea - Part 2

Calculus Level 3

When ships come in to dock where the berths are extremely narrow, the ships needs to be towed in to prevent damage to both the dock and the ship. A metal cable is attached to the front of the ship, looped through a pulley that is hinged at the edge of the dock, and attached to an automated winch.

At low tide, the top of the dock is 6 meters above sea level. The automated winch winds the cable at a constant rate of 10 meters per minute. To 2 decimal places, what is the speed (in meters per minute) at which the boat moves towards the shore when it is 10 meters from the shore?

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