A В C D 0 2 4 6 8 10 12 displacement x (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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Find the following for path A in the figure below.

 
(a) The distance traveled.


(b) The magnitude of the displacement from start to finish.


(c) The displacement from start to finish.

The image shows a diagram illustrating the displacement of four objects (A, B, C, D) along a horizontal line, with the x-axis labeled "displacement x (m)." The x-axis includes values ranging from 0 to 12 meters, marked at intervals of 2 meters.

### Description of Each Object's Movement:

- **Object A:**
  - Color: Green
  - Direction: Moves towards the right
  - Initial Position: Approximately 2 meters
  - Final Position: Approximately 11 meters

- **Object B:**
  - Color: Blue
  - Direction: Moves towards the left
  - Initial Position: Approximately 10 meters
  - Final Position: Approximately 6 meters

- **Object C:**
  - Color: Red
  - Movement: Begins slightly before 4 meters, moves right, loops back over itself, and ends slightly beyond 9 meters

- **Object D:**
  - Color: Orange
  - Direction: Moves towards the left
  - Initial Position: Approximately 9 meters
  - Final Position: Ends at 8 meters

The diagram effectively visualizes the various displacements of objects by indicating both direction and magnitude of movement.
Transcribed Image Text:The image shows a diagram illustrating the displacement of four objects (A, B, C, D) along a horizontal line, with the x-axis labeled "displacement x (m)." The x-axis includes values ranging from 0 to 12 meters, marked at intervals of 2 meters. ### Description of Each Object's Movement: - **Object A:** - Color: Green - Direction: Moves towards the right - Initial Position: Approximately 2 meters - Final Position: Approximately 11 meters - **Object B:** - Color: Blue - Direction: Moves towards the left - Initial Position: Approximately 10 meters - Final Position: Approximately 6 meters - **Object C:** - Color: Red - Movement: Begins slightly before 4 meters, moves right, loops back over itself, and ends slightly beyond 9 meters - **Object D:** - Color: Orange - Direction: Moves towards the left - Initial Position: Approximately 9 meters - Final Position: Ends at 8 meters The diagram effectively visualizes the various displacements of objects by indicating both direction and magnitude of movement.
Expert Solution
Step 1

For A path

 

1)

distance traveled = 7 m

(total path length)

 

2) Magnitude of displacement from start to finish = |7 - 0| m 

 = 7 m

|(difference of final and initial position)|

 

 

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