**Text Description:**A person going for a walk follows the path shown in the figure, where \( y_1 = 254 \, \text{m} \) and \( \theta = 56.0^\circ \). The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point?- **Magnitude:** ____ m- **Direction:** ____ ° counterclockwise from the \( +x \) axis**Diagram Explanation:**The diagram illustrates a path consisting of four segments:1. **Horizontal Path (Start to Corner):** Begins from a point labeled "Start" extending 100 meters in the positive \( x \)-direction. 2. **Vertical Path (Corner to Vertical End):** Proceeds vertically downwards \( y_1 = 254 \, \text{m} \).3. **Horizontal Path (Vertical End to Diagonal Start):** Extends 150 meters horizontally in the positive \( x \)-direction.4. **Diagonal Path (Diagonal Start to End):** Moves in a diagonal direction with a length of 200 meters at an angle of \( 30.0^\circ \) below the horizontal. This segment is labeled with the angle \( \theta = 56.0^\circ \), which is the angle formed with the horizontal measured counterclockwise.The problem asks for the total displacement from the starting point — expressed both as a magnitude and as a direction measured counterclockwise from the positive \( x \)-axis.

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A person going for a walk follows the path shown in the figure, where y, = 254 m and 0 = 56.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? magnitude direction ° counterclockwise from the +x axis Start 100 m End 200 m 30.00 150 m

A person going for a walk follows the path shown in the figure, where y, = 254 m and 0 = 56.0°. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point? magnitude direction ° counterclockwise from the +x axis Start 100 m End 200 m 30.00 150 m

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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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

**Text Description:**

A person going for a walk follows the path shown in the figure, where \( y_1 = 254 \, \text{m} \) and \( \theta = 56.0^\circ \). The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point?

- **Magnitude:** ____ m
- **Direction:** ____ ° counterclockwise from the \( +x \) axis

**Diagram Explanation:**

The diagram illustrates a path consisting of four segments:

1. **Horizontal Path (Start to Corner):** Begins from a point labeled "Start" extending 100 meters in the positive \( x \)-direction.

2. **Vertical Path (Corner to Vertical End):** Proceeds vertically downwards \( y_1 = 254 \, \text{m} \).

3. **Horizontal Path (Vertical End to Diagonal Start):** Extends 150 meters horizontally in the positive \( x \)-direction.

4. **Diagonal Path (Diagonal Start to End):** Moves in a diagonal direction with a length of 200 meters at an angle of \( 30.0^\circ \) below the horizontal. This segment is labeled with the angle \( \theta = 56.0^\circ \), which is the angle formed with the horizontal measured counterclockwise.

The problem asks for the total displacement from the starting point — expressed both as a magnitude and as a direction measured counterclockwise from the positive \( x \)-axis.

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