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• ### A boat is pulled toward a dock by a rope through a ring on the dock...

A boat is pulled toward a dock by a rope through a ring on the dock 6 ft above the front of the boat. The rope is hauled in at a rate of 12ft/sec. How fast in ft/sec is the boat approaching the dock when the rope is 10 ft long.

• ### 6. A boat is pulled into a dock by a rope attached to the bow of...

6. 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 meter 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 8 meters from the dock? The dock The rope The boat

• ### A boat is pulled into a dock by a rope attached to the bow of the boat an passing through the pulley on the deck that is 1m high than the bow of the boat ,if the rope is pulled im at the rate of 0.8m/s how fast does the boat approach the deck when it is 1

A boat is pulled into a dock by a rope attached to the bow of the boat an passing through the pulley on the deck that is 1m high than the bow of the boat ,if the rope is pulled im at the rate of 0.8m/s how fast does the boat approach the deck when it is 10m from the dock?

• ### A boat is pulled into a dock by means of a rope attached to a pulley...

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 7 feet below the level of the pulley. If the rope is pulled through the pulley at a rate of 10 ft/min, at what rate will the boat be approaching the dock when 90 ft of rope is out? The boat will be approaching the dock at________ft/min.

• ### (1 point) A boat is pulled into a dock by means of a rope attached to...

(1 point) 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 6 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 90 ft of rope is out? The boat will be approaching the dock at...

• ### A person walking along a dock drags a boat by a 10-meter rope. The boat travels...

A person walking along a dock drags a boat by a 10-meter rope. The boat travels along a path known as tractrix (see figure). The equation of this path is given below. 10 Tractrix 10 y10 In 10 V100- V100 x and x (a) What are the slopes of this path when x 9? (Round your answers to three decimal places.) y'(3) -3.179 y'(9) 98.33 (b) What does the slope of the path approach as 10? - 0 Need Help?...

• ### [0/0.77 Points) DETAILS PREVIOUS ANSWERS LARCALCET6 3.7.046 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the...

[0/0.77 Points) DETAILS PREVIOUS ANSWERS LARCALCET6 3.7.046 MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 24 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 5 feet per second. Find the acceleration of the boat when there...

• ### A ladder 15 feet long is leaning against a house. The base of the ladder is...

A ladder 15 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 3 ft/sec. How fast is the top of the ladder moving down the wall when its base is 4 feet from the wall? Round your answer to two decimal places. 15 ft Your Answer: Answer units

• ### A ladder 15 feet long is leaning against a house. The base of the ladder is...

A ladder 15 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 2 ft/sec. How fast is the top of the ladder moving down the wall when its base is 3 feet from the wall? Round your answer to two decimal places. 15 ft Your Answer: Answer units

• ### Aman in a boat is 2 miles from the nearest point on the shore. He needs...

Aman in a boat is 2 miles from the nearest point on the shore. He needs to get to a point 3 miles down the shore. It he can row at 4 miles per hour and run at 16 miles per hour, how far down the shore from where he starts out should he land in order to minimize the time it takes to reach his final destination? Enter the exact answer To enter Vā, type sqrt(a) He should land...