### Vector Displacement ProblemA person going for a walk follows the path shown in the figure, where \( y_1 = 272 \, \text{m} \) and \( \theta = 62.0^\circ \). 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#### Detailed Description of the Diagram:- The diagram shows an xy-coordinate system with a series of straight-line paths that trace the person's walk.- The starting point is marked as "Start."- The first path moves horizontally to the right (along the +x axis) for a distance of \( 100 \, \text{m} \).- The second path moves vertically upward to a distance of \( y_1 \) which is equal to \( 272 \, \text{m} \).- The third path moves diagonally downward and to the left, with an angle of \( 30.0^\circ \) below the horizontal (decreasing both the x and y components of the displacement). The length of this path is \( 200 \, \text{m} \).- The fourth path moves horizontally to the left (along the -x axis) for a distance of \( 150 \, \text{m} \).- The final position is marked as "End."The task is to determine:1. The magnitude of the resultant displacement from the starting point.2. The direction of this displacement in degrees, 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, = 272 m and e = 62.0. 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 m direction ° counterclockwise from the +x axis

A person going for a walk follows the path shown in the figure, where Y, = 272 m and e = 62.0. 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 m direction ° counterclockwise from the +x axis

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter3: Two-dimensional Kinematics

Section: Chapter Questions

Problem 16PE: Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and...

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Question

### Vector Displacement Problem

A person going for a walk follows the path shown in the figure, where \( y_1 = 272 \, \text{m} \) and \( \theta = 62.0^\circ \). 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

#### Detailed Description of the Diagram:
- The diagram shows an xy-coordinate system with a series of straight-line paths that trace the person's walk.
- The starting point is marked as "Start."
- The first path moves horizontally to the right (along the +x axis) for a distance of \( 100 \, \text{m} \).
- The second path moves vertically upward to a distance of \( y_1 \) which is equal to \( 272 \, \text{m} \).
- The third path moves diagonally downward and to the left, with an angle of \( 30.0^\circ \) below the horizontal (decreasing both the x and y components of the displacement). The length of this path is \( 200 \, \text{m} \).
- The fourth path moves horizontally to the left (along the -x axis) for a distance of \( 150 \, \text{m} \).
- The final position is marked as "End."

The task is to determine:
1. The magnitude of the resultant displacement from the starting point.
2. The direction of this displacement in degrees, measured counterclockwise from the positive x-axis.

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