A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at a constant rate of 4f(t)/(s), and the capstan is 5ft vertically above the water. How fast is the boat traveling when it is 9ft from the dock?

Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: The volume of a square pyramid is calculated using the formula: V=13b2h, where b is the length of…

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is…

A: Given an arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft.…

Q: A person is holding a kite 5 ft above the ground. The kite gets stuck on a 20 ft tree. As the person…

A:

Q: A ladder 25 feet long is leaning against a wall of a house. The base of the ladder is pulled away…

A:

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: A winch is on top of a pole that is 25 ft high and it is using a rope to pull object A. The rope is…

A: Let the distance of the object from the wall is x. the length of the rope is L and the length of the…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: From the given problem the representative diagram is as shown below. Apply the Pythagorean theorem:…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Let y be the distance from top of the ladder to the ground And X be the distance from foot of the…