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The figure shows a plot of vx(t) for a car traveling in a straight line. a. What is aav,x between t = 9.00 s and t = 11.0 s? answer in m/s^2 b. What is vav,x for the time interval from t = 9.00 s to t = 11.0 s? answer in m/s c. What is vav,x for the interval t = 0 to t = 17.0 s?  answer in m/s d. What is the increase in the car’s speed between 10.0 s and 17.0 s?answer in m/s e. How far does the car travel from time t = 10.0 s to t = 19.0 s? answer in m

The figure shows a plot of vx(t) for a car traveling in a straight line. a. What is aav,x between t = 9.00 s and t = 11.0 s? answer in m/s^2 b. What is vav,x for the time interval from t = 9.00 s to t = 11.0 s? answer in m/s c. What is vav,x for the interval t = 0 to t = 17.0 s?  answer in m/s d. What is the increase in the car’s speed between 10.0 s and 17.0 s?answer in m/s e. How far does the car travel from time t = 10.0 s to t = 19.0 s? answer in m

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 12P: A student drives a moped along a straight road as described by the velocity-versus-time graph in...
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The figure shows a plot of vx(t) for a car traveling in a straight line.

a. What is aav,x between t = 9.00 s and t = 11.0 s? answer in m/s^2

b. What is vav,x for the time interval from t = 9.00 s to t = 11.0 s? answer in m/s

c. What is vav,x for the interval t = 0 to t = 17.0 s?  answer in m/s

d. What is the increase in the car’s speed between 10.0 s and 17.0 s?answer in m/s

e. How far does the car travel from time t = 10.0 s to t = 19.0 s? answer in m

 

### Velocity-Time Graph for a Car Traveling in a Straight Line The figure above shows a plot of \( v_x(t) \) for a car traveling in a straight line. The graph illustrates the car's velocity \( v_x \) in meters per second (m/s) as a function of time \( t \) in seconds (s). #### Description of the Graph: - **Horizontal Axis (x-axis)**: Represents time \( t \) in seconds, ranging from 0 to 20 seconds. - **Vertical Axis (y-axis)**: Represents the car's velocity \( v_x \) in meters per second (m/s), ranging from 0 to 20 meters per second. The red line shows the changes in the car's velocity over time. 1. **0 to 5 seconds**: - The car maintains a constant velocity of 5 m/s. 2. **5 to 10 seconds**: - The car's velocity increases linearly from 5 m/s to 15 m/s. This indicates an acceleration during this period. 3. **10 to 20 seconds**: - The car maintains a constant velocity of 15 m/s. #### Analysis: - **Initial Phase (0-5 seconds)**: The car travels at a steady speed without acceleration. - **Acceleration Phase (5-10 seconds)**: The car accelerates smoothly, increasing its velocity from 5 m/s to 15 m/s. - **Final Phase (10-20 seconds)**: The car travels at a new constant speed of 15 m/s. This graph is useful in understanding the dynamics of the car's motion, including periods of constant velocity and acceleration.
Transcribed Image Text:### Velocity-Time Graph for a Car Traveling in a Straight Line The figure above shows a plot of \( v_x(t) \) for a car traveling in a straight line. The graph illustrates the car's velocity \( v_x \) in meters per second (m/s) as a function of time \( t \) in seconds (s). #### Description of the Graph: - **Horizontal Axis (x-axis)**: Represents time \( t \) in seconds, ranging from 0 to 20 seconds. - **Vertical Axis (y-axis)**: Represents the car's velocity \( v_x \) in meters per second (m/s), ranging from 0 to 20 meters per second. The red line shows the changes in the car's velocity over time. 1. **0 to 5 seconds**: - The car maintains a constant velocity of 5 m/s. 2. **5 to 10 seconds**: - The car's velocity increases linearly from 5 m/s to 15 m/s. This indicates an acceleration during this period. 3. **10 to 20 seconds**: - The car maintains a constant velocity of 15 m/s. #### Analysis: - **Initial Phase (0-5 seconds)**: The car travels at a steady speed without acceleration. - **Acceleration Phase (5-10 seconds)**: The car accelerates smoothly, increasing its velocity from 5 m/s to 15 m/s. - **Final Phase (10-20 seconds)**: The car travels at a new constant speed of 15 m/s. This graph is useful in understanding the dynamics of the car's motion, including periods of constant velocity and acceleration.
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