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

Question

Question

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.

math calculus

Answer 1

Answer #1

We are given that, Height of ring on the dock = 6eft Rate of hauling of rope = 12ft/sec Rope all of th=2) → Dock 6 ft? Roat (

Answer 2

Similar Homework Help Questions

(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 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.
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 at a A Rope passing through a capstan son dock is attachted offshore. The...

a boat at a A Rope passing through a capstan son dock is attachted offshore. The rope is pulled in Leonstant rate of 3ft/s and the capstan 5ft vertically above the water, HOW FAST IS THE BOAT TRAVELING WHEN IT IS 7 ft FROM THE Dock? (Round Final Final Answer to a decimal places) 15
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?
Problem 6.28 You bring a boat toward the dock by pulling on a rope with a...

Problem 6.28 You bring a boat toward the dock by pulling on a rope with a force of 100 newtons through a distance of 7 meters. How much work do you do? (Include the appropriate sign.) joules Then you slow the boat down by pushing against it with a force of 50 newtons, opposite to the boat's movement of 4 meters. How much work do you do? (Include the appropriate sign.) joules What is the total amount of work that...

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?...
Two carts, A and B, are connected by a rope 39 ft long that passes over...

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor h = 12 ft directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 3 ft/s. How fast is cart B moving toward Q at the instant when cart A is 5 ft from Q? Answer should be in ft/sec.
[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...

Logan is standing on a dock holding onto a rope swing that is ?=4.30 m long...

Logan is standing on a dock holding onto a rope swing that is ?=4.30 m long and suspended from a tree branch above. The rope is taut and makes a 30.0° angle with the vertical. Logan swings in a circular arc, passing through the bottom of the arc then releasing the rope when it makes an angle of ?=13.1° with the perpendicular. If Logan's mass is 71.0 kg , how much work ?grav does gravity do on him up to...