Use the velocity vs. time graph below to find the average acceleration over the entire interval. Velocity, m/s 4- C В D H 6. 8. 10 12, 14 16 Time, s -2- A E G F O A. 0.36 m/s2 O B. 0.07 m/s2 O C.0 m/s² O D. _0.07 m/s² E. 0 36 m/s2 2.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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### Velocity vs. Time Graph Analysis

This graph illustrates the velocity of an object over time, measured in meters per second (m/s) on the y-axis and time in seconds (s) on the x-axis. The graph is segmented into several labeled sections: A, B, C, D, E, F, G, and H, representing different intervals of motion.

#### Graph Description

1. **Interval A (0s - 2s):** The object accelerates from -2 m/s to 0 m/s.
2. **Interval B (2s - 4s):** The object accelerates from 0 m/s to 2 m/s.
3. **Interval C (4s - 6s):** The object maintains a constant velocity of 4 m/s.
4. **Interval D (6s - 8s):** The object decelerates from 4 m/s to 0 m/s.
5. **Interval E (8s - 10s):** The object accelerates in the negative direction, reaching -2 m/s.
6. **Interval F (10s - 12s):** The object maintains a constant velocity of -2 m/s.
7. **Interval G (12s - 14s):** The object accelerates from -2 m/s to 0 m/s.
8. **Interval H (14s - 16s):** The object accelerates from 0 m/s to 2 m/s.

#### Objective
Use the velocity vs. time graph to find the average acceleration over the entire interval.

#### Answer Choices
- A. 0.36 m/s²
- B. 0.07 m/s²
- C. 0 m/s²
- D. -0.07 m/s²
- E. -0.36 m/s²

**Explanation:**
To find the average acceleration, consider the total change in velocity over the total time period. Calculate using the initial and final velocities and the complete time interval from 0s to 16s.
Transcribed Image Text:### Velocity vs. Time Graph Analysis This graph illustrates the velocity of an object over time, measured in meters per second (m/s) on the y-axis and time in seconds (s) on the x-axis. The graph is segmented into several labeled sections: A, B, C, D, E, F, G, and H, representing different intervals of motion. #### Graph Description 1. **Interval A (0s - 2s):** The object accelerates from -2 m/s to 0 m/s. 2. **Interval B (2s - 4s):** The object accelerates from 0 m/s to 2 m/s. 3. **Interval C (4s - 6s):** The object maintains a constant velocity of 4 m/s. 4. **Interval D (6s - 8s):** The object decelerates from 4 m/s to 0 m/s. 5. **Interval E (8s - 10s):** The object accelerates in the negative direction, reaching -2 m/s. 6. **Interval F (10s - 12s):** The object maintains a constant velocity of -2 m/s. 7. **Interval G (12s - 14s):** The object accelerates from -2 m/s to 0 m/s. 8. **Interval H (14s - 16s):** The object accelerates from 0 m/s to 2 m/s. #### Objective Use the velocity vs. time graph to find the average acceleration over the entire interval. #### Answer Choices - A. 0.36 m/s² - B. 0.07 m/s² - C. 0 m/s² - D. -0.07 m/s² - E. -0.36 m/s² **Explanation:** To find the average acceleration, consider the total change in velocity over the total time period. Calculate using the initial and final velocities and the complete time interval from 0s to 16s.
### Graph Analysis

Each graph below shows the position of an object as a function of time. From greatest to least, rank the distance of the object at 4 seconds.

#### Graph A:
- **Position (m)** vs. **Time (s)**
- At 4 seconds, the position is 4 meters.

#### Graph B:
- **Position (m)** vs. **Time (s)**
- At 4 seconds, the position is 8 meters.
  
#### Graph C:
- **Position (m)** vs. **Time (s)**
- At 4 seconds, the position is 0 meters.
  
#### Graph D:
- **Position (m)** vs. **Time (s)**
- At 4 seconds, the position is 4 meters.

#### Answer Options:
- **A. B > D = A > C**
- **B. A = B = C = D**
- **C. A > B > C > D**
- **D. D > C > B > A**

### Question 20

An airplane starts from rest and accelerates at \( 12.6 \, \text{m/s}^2 \). What is its speed at the end of a 1790 m long runway?

#### Answer Options:
- **A. 212 m/s**
- **B. 34500 m/s**
- **C. 131 m/s**
- **D. 4320 m/s**
- **E. none of the above**
Transcribed Image Text:### Graph Analysis Each graph below shows the position of an object as a function of time. From greatest to least, rank the distance of the object at 4 seconds. #### Graph A: - **Position (m)** vs. **Time (s)** - At 4 seconds, the position is 4 meters. #### Graph B: - **Position (m)** vs. **Time (s)** - At 4 seconds, the position is 8 meters. #### Graph C: - **Position (m)** vs. **Time (s)** - At 4 seconds, the position is 0 meters. #### Graph D: - **Position (m)** vs. **Time (s)** - At 4 seconds, the position is 4 meters. #### Answer Options: - **A. B > D = A > C** - **B. A = B = C = D** - **C. A > B > C > D** - **D. D > C > B > A** ### Question 20 An airplane starts from rest and accelerates at \( 12.6 \, \text{m/s}^2 \). What is its speed at the end of a 1790 m long runway? #### Answer Options: - **A. 212 m/s** - **B. 34500 m/s** - **C. 131 m/s** - **D. 4320 m/s** - **E. none of the above**
Expert Solution
Step 1

Velocity Vs time graph 

Final velocity is Vf = 2 m/s at Tf = 14 s 

Initial velocity is Vi = - 3 m/s at Ti = 0 s 

 

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