Which of the following is a motion diagram between t = 5.00 s and t = 9.00 s? a. options in atttachemnt  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. anser in m/s^2

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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Which of the following is a motion diagram between t = 5.00 s and t = 9.00 s?

a. options in atttachemnt 

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. anser in m/s^2

### Velocity vs. Time Graph Explanation

#### Velocity-Time Graph Overview
This graph represents the velocity (\(v_x\)) in meters per second (m/s) of an object moving along the x-axis plotted against time (\(t\)) in seconds (s).

#### Detailed Graph Analysis

1. **Axes:**
    - The horizontal axis represents time, \(t\) in seconds (s), and ranges from 0 to 14 seconds.
    - The vertical axis represents velocity, \(v_x\) in meters per second (m/s), ranging from 0 to 50 m/s.

2. **Initial Velocity Constant (0s to 6s):**
    - From time \(t = 0 \text{s}\) to \(t = 6 \text{s}\), the velocity, \(v_x\), is constant at 20 m/s. 
    - This indicates the object is moving at a steady velocity during this period.

3. **Acceleration Phase (6s to 9s):**
    - Between \(t = 6 \text{s}\) and \(t = 9 \text{s}\), there is a sharp acceleration.
    - The velocity increases linearly from 20 m/s to 40 m/s, indicating the object is speeding up.

4. **Deceleration Phase (9s to 13s):**
    - From \(t = 9 \text{s}\) to \(t = 13 \text{s}\), there is a linear decrease in velocity from 40 m/s back to 0 m/s, indicating the object is slowing down.

5. **Resting State (13s to 14s):**
    - Between \(t = 13 \text{s}\) and \(t = 14 \text{s}\), the velocity stays at 0 m/s.
    - This signifies that the object has stopped moving.

### Key Points to Note:
- **Constant Velocity:** When the graph is a horizontal line (between 0s to 6s), the object’s velocity is steady.
- **Increasing Velocity:** A positive slope (upwards line from 6s to 9s) reflects acceleration.
- **Decreasing Velocity:** A negative slope (downwards line from 9s to 13s) represents deceleration.
- **No Movement:** A horizontal line at 0 m/s (from 13s to 14s) indicates the object
Transcribed Image Text:### Velocity vs. Time Graph Explanation #### Velocity-Time Graph Overview This graph represents the velocity (\(v_x\)) in meters per second (m/s) of an object moving along the x-axis plotted against time (\(t\)) in seconds (s). #### Detailed Graph Analysis 1. **Axes:** - The horizontal axis represents time, \(t\) in seconds (s), and ranges from 0 to 14 seconds. - The vertical axis represents velocity, \(v_x\) in meters per second (m/s), ranging from 0 to 50 m/s. 2. **Initial Velocity Constant (0s to 6s):** - From time \(t = 0 \text{s}\) to \(t = 6 \text{s}\), the velocity, \(v_x\), is constant at 20 m/s. - This indicates the object is moving at a steady velocity during this period. 3. **Acceleration Phase (6s to 9s):** - Between \(t = 6 \text{s}\) and \(t = 9 \text{s}\), there is a sharp acceleration. - The velocity increases linearly from 20 m/s to 40 m/s, indicating the object is speeding up. 4. **Deceleration Phase (9s to 13s):** - From \(t = 9 \text{s}\) to \(t = 13 \text{s}\), there is a linear decrease in velocity from 40 m/s back to 0 m/s, indicating the object is slowing down. 5. **Resting State (13s to 14s):** - Between \(t = 13 \text{s}\) and \(t = 14 \text{s}\), the velocity stays at 0 m/s. - This signifies that the object has stopped moving. ### Key Points to Note: - **Constant Velocity:** When the graph is a horizontal line (between 0s to 6s), the object’s velocity is steady. - **Increasing Velocity:** A positive slope (upwards line from 6s to 9s) reflects acceleration. - **Decreasing Velocity:** A negative slope (downwards line from 9s to 13s) represents deceleration. - **No Movement:** A horizontal line at 0 m/s (from 13s to 14s) indicates the object
### Multiple Choice

1. **Option A:**

    ![Graph for Option A](https://via.placeholder.com/150)

    A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals:

    - \( t = 5.00 \, s \): 100 meters
    - \( t = 6.00 \, s \): 130 meters
    - \( t = 7.00 \, s \): 160 meters
    - \( t = 8.00 \, s \): 190 meters
    - \( t = 9.00 \, s \): 250 meters

    The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating an accelerating trend.

2. **Option B:**

    ![Graph for Option B](https://via.placeholder.com/150)

    A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals:

    - \( t = 5.00 \, s \): 100 meters
    - \( t = 6.00 \, s \): 105 meters
    - \( t = 7.00 \, s \): 110 meters
    - \( t = 8.00 \, s \): 115 meters
    - \( t = 9.00 \, s \): 125 meters

    The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating a slight accelerating trend.

3. **Option C:**

    ![Graph for Option C](https://via.placeholder.com/150)

    A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals:

    - \( t = 5.00 \, s \): 100 meters
    - \( t = 6.00 \, s \): 110 meters
    - \( t = 7.00 \, s \): 120 meters
    - \( t = 8.00 \, s \): 130 meters
    - \( t = 9.00 \, s \): 150 meters

    The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating an accelerating trend.
Transcribed Image Text:### Multiple Choice 1. **Option A:** ![Graph for Option A](https://via.placeholder.com/150) A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals: - \( t = 5.00 \, s \): 100 meters - \( t = 6.00 \, s \): 130 meters - \( t = 7.00 \, s \): 160 meters - \( t = 8.00 \, s \): 190 meters - \( t = 9.00 \, s \): 250 meters The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating an accelerating trend. 2. **Option B:** ![Graph for Option B](https://via.placeholder.com/150) A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals: - \( t = 5.00 \, s \): 100 meters - \( t = 6.00 \, s \): 105 meters - \( t = 7.00 \, s \): 110 meters - \( t = 8.00 \, s \): 115 meters - \( t = 9.00 \, s \): 125 meters The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating a slight accelerating trend. 3. **Option C:** ![Graph for Option C](https://via.placeholder.com/150) A graphical representation of distance (in meters) versus time (in seconds). The data points correspond to the following time intervals: - \( t = 5.00 \, s \): 100 meters - \( t = 6.00 \, s \): 110 meters - \( t = 7.00 \, s \): 120 meters - \( t = 8.00 \, s \): 130 meters - \( t = 9.00 \, s \): 150 meters The graph shows a marked upward arrow at \( t = 9.00 \, s \), indicating an accelerating trend.
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