Which time segments shows a constant velocity? Which time seemed shows a slow down? Which time segments show speeding up? Where did the object stop or change direction? What is the displacement?

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Which time segments shows a constant velocity? Which time seemed shows a slow down? Which time segments show speeding up? Where did the object stop or change direction? What is the displacement?
The graph displayed is a velocity-time graph showing the relationship between velocity (\(v\)) in meters per second (m/s) and time (\(t\)) in seconds (s). 

### Description:

- **Axes:** 
  - The vertical axis represents velocity (\(v\)) in meters per second, ranging from -8 m/s to 8 m/s.
  - The horizontal axis represents time (\(t\)) in seconds, spanning from 0 to 20 seconds.

### Graph Analysis:

1. **Initial Phase (0 to 5 seconds):**
   - Velocity is constant at -8 m/s, indicating motion in the negative direction at a steady speed.

2. **Acceleration Phase (5 to 10 seconds):**
   - The velocity changes from -8 m/s to 0 m/s. This is a period of acceleration as the object slows down to a stop.

3. **Further Acceleration (10 to 15 seconds):**
   - Velocity increases linearly from 0 m/s to 8 m/s. The object accelerates steadily in the positive direction.

4. **Final Phase (15 to 20 seconds):**
   - Velocity remains constant at 8 m/s, indicating uniform motion in the positive direction.

### Interpretation:

This graph illustrates a transition from uniform negative velocity to uniform positive velocity through a period of acceleration. It can be used to demonstrate the concepts of constant velocity, acceleration, and change of direction in motion.
Transcribed Image Text:The graph displayed is a velocity-time graph showing the relationship between velocity (\(v\)) in meters per second (m/s) and time (\(t\)) in seconds (s). ### Description: - **Axes:** - The vertical axis represents velocity (\(v\)) in meters per second, ranging from -8 m/s to 8 m/s. - The horizontal axis represents time (\(t\)) in seconds, spanning from 0 to 20 seconds. ### Graph Analysis: 1. **Initial Phase (0 to 5 seconds):** - Velocity is constant at -8 m/s, indicating motion in the negative direction at a steady speed. 2. **Acceleration Phase (5 to 10 seconds):** - The velocity changes from -8 m/s to 0 m/s. This is a period of acceleration as the object slows down to a stop. 3. **Further Acceleration (10 to 15 seconds):** - Velocity increases linearly from 0 m/s to 8 m/s. The object accelerates steadily in the positive direction. 4. **Final Phase (15 to 20 seconds):** - Velocity remains constant at 8 m/s, indicating uniform motion in the positive direction. ### Interpretation: This graph illustrates a transition from uniform negative velocity to uniform positive velocity through a period of acceleration. It can be used to demonstrate the concepts of constant velocity, acceleration, and change of direction in motion.
Expert Solution
Step 1

In the graph, when the slope of the curve is zero, the velocity is constant.

The time segment that shows the constant velocity is t=0 s to 4.5 s and t=15.5 s to 20 s.

Step 2

The magnitude of velocity decreases from 8 m/s to 0 m/s in the time duration of t=5 s to 10 s.

Step 3

The magnitude of velocity increases from 0 m/s to 8 m/s in the time duration of t=10 s to 15 s.

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