**Problem Statement:**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 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.)\[ \text{Acceleration} = \_\_\_\_\_\_ \, \text{ft/sec}^2 \]**Diagram Explanation:**The diagram shows a right triangle formed by the dock, the winch, and the boat. The winch is located 16 feet vertically above the point where the boat is being pulled into the dock. The hypotenuse of the triangle represents the length of the rope, which is being pulled in by the winch, and it measures 20 feet at the time of the calculation. The horizontal component along the water represents the distance of the boat from the dock, denoted as $ x $ feet. The winch pulls the rope at a rate of 7 feet per second.The diagram is labeled with the vertical distance as 16 feet and the hypotenuse (rope) as having a variable length. At the bottom of the image, it is indicated that the figure is "Not drawn to scale."**Additional Resource:**At the bottom left, there is a "Need Help? Read It" button for additional assistance.

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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 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.) ft/sec² Need Help? Read It Not drawn to scale

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 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.) ft/sec² Need Help? Read It Not drawn to scale

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**Problem Statement:**

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 16 feet above the deck of the boat (see figure). The winch pulls in rope at a rate of 7 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out. (Round your answer to three decimal places.)

\[ \text{Acceleration} = \_\_\_\_\_\_ \, \text{ft/sec}^2 \]

**Diagram Explanation:**

The diagram shows a right triangle formed by the dock, the winch, and the boat. The winch is located 16 feet vertically above the point where the boat is being pulled into the dock. The hypotenuse of the triangle represents the length of the rope, which is being pulled in by the winch, and it measures 20 feet at the time of the calculation. The horizontal component along the water represents the distance of the boat from the dock, denoted as $ x $ feet. The winch pulls the rope at a rate of 7 feet per second.

The diagram is labeled with the vertical distance as 16 feet and the hypotenuse (rope) as having a variable length. At the bottom of the image, it is indicated that the figure is "Not drawn to scale."

**Additional Resource:**

At the bottom left, there is a "Need Help? Read It" button for additional assistance.

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