b. What is the acceleration between t = 5.00 s and t = 9.00 s? If the acceleration is to +x-direction, enter a positive value and if the acceleration is to –x-direction, enter a negative value. answer in m/s^2

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Chapter1: Units, Trigonometry. And Vectors
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a. Which of the following is a motion diagram between t = 5.00 s and t = 9.00 s? (MULTOPLE CHOICE IN ATTACHEMNT)

b. What is the acceleration between t = 5.00 s and t = 9.00 s? If the acceleration is to +x-direction, enter a positive value and if the acceleration is to –x-direction, enter a negative value. answer in m/s^2

 

 

 

The graph displayed depicts \( v_x \) (velocity in the x-direction, in meters per second, m/s) versus \( t \) (time, in seconds, s) for an object moving along the x-axis.

### Description of the Graph:
- **Horizontal Axis (t)**: Represents time (t) in seconds (s), ranging from 0 to 14 seconds.
- **Vertical Axis (v_x)**: Represents velocity in the x-direction (v_x) in meters per second (m/s), ranging from 0 to 50 m/s.
  
### Detailed Explanation:
- From \( t = 0 \) to \( t = 6 \) seconds:
  - The velocity \( v_x \) remains constant at 20 m/s.
  
- From \( t = 6 \) to \( t = 9 \) seconds:
  - The velocity \( v_x \) increases linearly from 20 m/s to 40 m/s.

- From \( t = 9 \) to \( t = 12 \) seconds:
  - The velocity \( v_x \) decreases linearly from 40 m/s to 0 m/s.

- From \( t = 12 \) to \( t = 14 \) seconds:
  - The velocity \( v_x \) remains constant at 0 m/s.

### Interpretation:
- **Constant Velocity Phase (0 to 6 seconds)**: The object moves with a constant velocity of 20 m/s.
- **Acceleration Phase (6 to 9 seconds)**: The object accelerates from 20 m/s to 40 m/s.
- **Deceleration Phase (9 to 12 seconds)**: The object decelerates from 40 m/s to 0 m/s.
- **Rest Phase (12 to 14 seconds)**: The object comes to a rest and stays at 0 m/s.

This graph helps illustrate how the velocity of an object changes over time, showing phases of constant velocity, acceleration, deceleration, and rest.
Transcribed Image Text:The graph displayed depicts \( v_x \) (velocity in the x-direction, in meters per second, m/s) versus \( t \) (time, in seconds, s) for an object moving along the x-axis. ### Description of the Graph: - **Horizontal Axis (t)**: Represents time (t) in seconds (s), ranging from 0 to 14 seconds. - **Vertical Axis (v_x)**: Represents velocity in the x-direction (v_x) in meters per second (m/s), ranging from 0 to 50 m/s. ### Detailed Explanation: - From \( t = 0 \) to \( t = 6 \) seconds: - The velocity \( v_x \) remains constant at 20 m/s. - From \( t = 6 \) to \( t = 9 \) seconds: - The velocity \( v_x \) increases linearly from 20 m/s to 40 m/s. - From \( t = 9 \) to \( t = 12 \) seconds: - The velocity \( v_x \) decreases linearly from 40 m/s to 0 m/s. - From \( t = 12 \) to \( t = 14 \) seconds: - The velocity \( v_x \) remains constant at 0 m/s. ### Interpretation: - **Constant Velocity Phase (0 to 6 seconds)**: The object moves with a constant velocity of 20 m/s. - **Acceleration Phase (6 to 9 seconds)**: The object accelerates from 20 m/s to 40 m/s. - **Deceleration Phase (9 to 12 seconds)**: The object decelerates from 40 m/s to 0 m/s. - **Rest Phase (12 to 14 seconds)**: The object comes to a rest and stays at 0 m/s. This graph helps illustrate how the velocity of an object changes over time, showing phases of constant velocity, acceleration, deceleration, and rest.
**Multiple Choice Question**

Below are four options with corresponding graphs. Each graph illustrates the progress of a certain variable over time. Examine each graph carefully and select the one that best fits the context given in your specific learning module.

1. **Option 1:**
   - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s.
   - Data Points (x, y): 
     - t = 5.0s: y = 100
     - t = 6.0s: y = 120
     - t = 7.0s: y = 140
     - t = 8.0s: y = 160
     - t = 9.0s: y = 200

2. **Option 2:**
   - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s.
   - Data Points (x, y):
     - t = 5.0s: y = 100
     - t = 6.0s: y = 105
     - t = 7.0s: y = 110
     - t = 8.0s: y = 115
     - t = 9.0s: y = 120
     
3. **Option 3:**
   - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s.
   - Data Points (x, y):
     - t = 5.0s: y = 100
     - t = 6.0s: y = 130
     - t = 7.0s: y = 160
     - t = 8.0s: y = 190
     - t = 9.0s: y = 250
     
4. **Option 4:**
   - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s.
   - Data Points (x, y):
     - t = 5.0s: y = 100
     - t = 6.0s: y = 110
     - t = 7.0s: y = 120
     - t = 8
Transcribed Image Text:**Multiple Choice Question** Below are four options with corresponding graphs. Each graph illustrates the progress of a certain variable over time. Examine each graph carefully and select the one that best fits the context given in your specific learning module. 1. **Option 1:** - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s. - Data Points (x, y): - t = 5.0s: y = 100 - t = 6.0s: y = 120 - t = 7.0s: y = 140 - t = 8.0s: y = 160 - t = 9.0s: y = 200 2. **Option 2:** - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s. - Data Points (x, y): - t = 5.0s: y = 100 - t = 6.0s: y = 105 - t = 7.0s: y = 110 - t = 8.0s: y = 115 - t = 9.0s: y = 120 3. **Option 3:** - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s. - Data Points (x, y): - t = 5.0s: y = 100 - t = 6.0s: y = 130 - t = 7.0s: y = 160 - t = 8.0s: y = 190 - t = 9.0s: y = 250 4. **Option 4:** - Graph Description: The x-axis represents time in seconds, ranging from 5.0s to 9.0s. - Data Points (x, y): - t = 5.0s: y = 100 - t = 6.0s: y = 110 - t = 7.0s: y = 120 - t = 8
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