How fast is the boat approaching the dock when...? (See entire problem below)
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 #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 #7 m # from 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
1 Answer
Mar 24, 2017
Explanation:
Use Pythagoreas Theorem in terms of the distances
Differentiate both sides wrt t:
We want
The sign is negative because the distance from the pier is decreasing.