A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is attached to the front of the boat, which is 5 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 12 ft/min, at what rate will the boat be approaching the dock when 120 ft of rope is out? The boat will be approaching the dock at ft/min. Hint. Sketch a diagram of this situation.

Q:

A: Step 1: To find the load that would stretch the spring 6 cm, we can use the concept of direct…

Q: A pipe has an inside diameter of 1.6 cm. It carries water into the first floor of a house at a speed…

A: The complete solutions are given below

Q: 1. A ladder 13 feet long is leaning against the wall of a house. The base of the ladder is pulled…

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the…

A: Given query is to find speed of the tip of man's shadow.

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock (see the…

A: Let  be the distance from the boat to dock and  be the length of the rope. Then .Take derivative.…