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### Problem Statement **An ant travels 30 cm east, 25 cm north, and finally 15 cm west. What is the direction of its displacement with respect to its starting point?** ### Multiple Choice Options 1. \(59^\circ\) N of E 2. \(77^\circ\) N of E 3. \(29^\circ\) N of E 4. \(59^\circ\) N of W ### Explanation The question involves calculating the resultant displacement direction of an ant that follows a path described by several linear vectors: moving east, then north, and finally west. The problem can be visualized using vector addition, where each movement forms a segment of a broken path. **Details for Solution:** To solve for the direction, you would: 1. **Calculate the Net Displacement Vector:** - \( x \)-component: \( 30 \, \text{cm} \, (\text{east}) - 15 \, \text{cm} \, (\text{west}) = 15 \, \text{cm} \) east - \( y \)-component: \( 25 \, \text{cm} \) north 2. **Determine the Angle:** - Calculate the angle of the resultant vector with respect to the east direction using trigonometry (e.g., tangent function). A full explanation of vector decomposition and angle calculation would be included for educational purposes. The image shows a multiple-choice question interface on a website, likely part of an online quiz or educational assessment. The section presented features a list of options, each located beside a circular radio button to select the answer. The options provided are as follows: 1. 59° N of E 2. 77° N of E 3. 29° N of E 4. 59° N of W 5. 29° N of E Below the options, there are navigation controls, indicating the user is on question 8 of 15, with "Prev" and "Next" buttons for navigating between questions. No graphs or diagrams are present in this section.

### Problem Statement **An ant travels 30 cm east, 25 cm north, and finally 15 cm west. What is the direction of its displacement with respect to its starting point?** ### Multiple Choice Options 1. \(59^\circ\) N of E 2. \(77^\circ\) N of E 3. \(29^\circ\) N of E 4. \(59^\circ\) N of W ### Explanation The question involves calculating the resultant displacement direction of an ant that follows a path described by several linear vectors: moving east, then north, and finally west. The problem can be visualized using vector addition, where each movement forms a segment of a broken path. **Details for Solution:** To solve for the direction, you would: 1. **Calculate the Net Displacement Vector:** - \( x \)-component: \( 30 \, \text{cm} \, (\text{east}) - 15 \, \text{cm} \, (\text{west}) = 15 \, \text{cm} \) east - \( y \)-component: \( 25 \, \text{cm} \) north 2. **Determine the Angle:** - Calculate the angle of the resultant vector with respect to the east direction using trigonometry (e.g., tangent function). A full explanation of vector decomposition and angle calculation would be included for educational purposes. The image shows a multiple-choice question interface on a website, likely part of an online quiz or educational assessment. The section presented features a list of options, each located beside a circular radio button to select the answer. The options provided are as follows: 1. 59° N of E 2. 77° N of E 3. 29° N of E 4. 59° N of W 5. 29° N of E Below the options, there are navigation controls, indicating the user is on question 8 of 15, with "Prev" and "Next" buttons for navigating between questions. No graphs or diagrams are present in this section.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Statement **An ant travels 30 cm east, 25 cm north, and finally 15 cm west. What is the direction of its displacement with respect to its starting point?** ### Multiple Choice Options 1. \(59^\circ\) N of E 2. \(77^\circ\) N of E 3. \(29^\circ\) N of E 4. \(59^\circ\) N of W ### Explanation The question involves calculating the resultant displacement direction of an ant that follows a path described by several linear vectors: moving east, then north, and finally west. The problem can be visualized using vector addition, where each movement forms a segment of a broken path. **Details for Solution:** To solve for the direction, you would: 1. **Calculate the Net Displacement Vector:** - \( x \)-component: \( 30 \, \text{cm} \, (\text{east}) - 15 \, \text{cm} \, (\text{west}) = 15 \, \text{cm} \) east - \( y \)-component: \( 25 \, \text{cm} \) north 2. **Determine the Angle:** - Calculate the angle of the resultant vector with respect to the east direction using trigonometry (e.g., tangent function). A full explanation of vector decomposition and angle calculation would be included for educational purposes.
Transcribed Image Text:### Problem Statement **An ant travels 30 cm east, 25 cm north, and finally 15 cm west. What is the direction of its displacement with respect to its starting point?** ### Multiple Choice Options 1. \(59^\circ\) N of E 2. \(77^\circ\) N of E 3. \(29^\circ\) N of E 4. \(59^\circ\) N of W ### Explanation The question involves calculating the resultant displacement direction of an ant that follows a path described by several linear vectors: moving east, then north, and finally west. The problem can be visualized using vector addition, where each movement forms a segment of a broken path. **Details for Solution:** To solve for the direction, you would: 1. **Calculate the Net Displacement Vector:** - \( x \)-component: \( 30 \, \text{cm} \, (\text{east}) - 15 \, \text{cm} \, (\text{west}) = 15 \, \text{cm} \) east - \( y \)-component: \( 25 \, \text{cm} \) north 2. **Determine the Angle:** - Calculate the angle of the resultant vector with respect to the east direction using trigonometry (e.g., tangent function). A full explanation of vector decomposition and angle calculation would be included for educational purposes.
The image shows a multiple-choice question interface on a website, likely part of an online quiz or educational assessment. The section presented features a list of options, each located beside a circular radio button to select the answer. The options provided are as follows: 1. 59° N of E 2. 77° N of E 3. 29° N of E 4. 59° N of W 5. 29° N of E Below the options, there are navigation controls, indicating the user is on question 8 of 15, with "Prev" and "Next" buttons for navigating between questions. No graphs or diagrams are present in this section.
Transcribed Image Text:The image shows a multiple-choice question interface on a website, likely part of an online quiz or educational assessment. The section presented features a list of options, each located beside a circular radio button to select the answer. The options provided are as follows: 1. 59° N of E 2. 77° N of E 3. 29° N of E 4. 59° N of W 5. 29° N of E Below the options, there are navigation controls, indicating the user is on question 8 of 15, with "Prev" and "Next" buttons for navigating between questions. No graphs or diagrams are present in this section.
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