Part A - Position of the boy Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.(Figure 2) Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis. • View Available Hint(s) ΑΣφ vec ? dp , 0B m, Submit
Part A - Position of the boy Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree.(Figure 2) Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x axis. • View Available Hint(s) ΑΣφ vec ? dp , 0B m, Submit
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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Question
![**Learning Goal:**
To be able to add and subtract vectors using geometric and vector addition.
**Problem Description:**
A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled \( d_1 = 21.5 \, \text{m} \) at \( \theta_1 = 21.5^\circ \) from the tree then turned and traveled \( d_2 = 12.0 \, \text{m} \) at \( \theta_2 = 132^\circ \). Meanwhile, the sister traveled \( d_3 = 18.0 \, \text{m} \) at an angle of \( \theta_3 = -114^\circ \) from the tree. The angles are given with respect to east with counterclockwise being defined as positive (Figure 1).
**Task:**
**Part A - Position of the boy**
Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree. (Figure 2)
Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x-axis.
\[ d_B, \theta_B = \]
Submit
**Figure:**
1 of 2
The image shows a diagram with vectors \(d_1\), \(d_2\), and \(d_3\) on an xy-plane. The vector \(d_1\) is positioned at an angle of \(21.5^\circ\) from the positive x-axis. The vector \(d_2\) starts from the end of \(d_1\) and is at an angle of \(132^\circ\) from the positive x-axis. The vector \(d_3\) is drawn from the tree position in the negative direction making an angle of \(-114^\circ\) from the positive x-axis.
**Further Steps:**
- Complete Part B
- Complete Part C
**Provide Feedback**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb1a8ba3-371b-48d7-95b6-c118f740fa83%2Fab74b52f-f833-463a-af5d-91ed280e8d2c%2Fpfciaxk_processed.png&w=3840&q=75)
Transcribed Image Text:**Learning Goal:**
To be able to add and subtract vectors using geometric and vector addition.
**Problem Description:**
A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled \( d_1 = 21.5 \, \text{m} \) at \( \theta_1 = 21.5^\circ \) from the tree then turned and traveled \( d_2 = 12.0 \, \text{m} \) at \( \theta_2 = 132^\circ \). Meanwhile, the sister traveled \( d_3 = 18.0 \, \text{m} \) at an angle of \( \theta_3 = -114^\circ \) from the tree. The angles are given with respect to east with counterclockwise being defined as positive (Figure 1).
**Task:**
**Part A - Position of the boy**
Using the parallelogram law to add these vectors geometrically, determine the displacement of the boy relative to the tree. (Figure 2)
Express your answers, separated by a comma, to three significant figures. Enter the angle measured counterclockwise from the positive x-axis.
\[ d_B, \theta_B = \]
Submit
**Figure:**
1 of 2
The image shows a diagram with vectors \(d_1\), \(d_2\), and \(d_3\) on an xy-plane. The vector \(d_1\) is positioned at an angle of \(21.5^\circ\) from the positive x-axis. The vector \(d_2\) starts from the end of \(d_1\) and is at an angle of \(132^\circ\) from the positive x-axis. The vector \(d_3\) is drawn from the tree position in the negative direction making an angle of \(-114^\circ\) from the positive x-axis.
**Further Steps:**
- Complete Part B
- Complete Part C
**Provide Feedback**
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