a. What is aav,x between t = 8.00 s and t = 11.0 s? answer in m/s^2 b. What is vav,x for the time interval from t = 8.00 s to t = 11.0 s? answer in m/s c. What is vav,x for the interval t = 0 to t = 15.0 s? answer in m/s d. What is the increase in the car’s speed between 10.0 s and 15.0 s? answer in m/s e. How far does the car travel from time t = 10.0 s to t = 15.0 s? answer in m

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a. What is aav,x between t = 8.00 s and t = 11.0 s? answer in m/s^2

b. What is vav,x for the time interval from t = 8.00 s to t = 11.0 s? answer in m/s

c. What is vav,x for the interval t = 0 to = 15.0 s? answer in m/s

d. What is the increase in the car’s speed between 10.0 s and 15.0 s? answer in m/s

e. How far does the car travel from time t = 10.0 s to t = 15.0 s? answer in m

 

### Velocity-Time Graph for a Car Traveling in a Straight Line

The figure displays a graph of \( v_x(t) \), which represents the velocity of a car traveling in a straight line over time.

#### Axes Description:
- The horizontal axis (x-axis) represents time (\( t \)) in seconds (s), ranging from 0 to 20 seconds.
- The vertical axis (y-axis) represents the velocity (\( v_x \)) in meters per second (m/s), ranging from 0 to 20 m/s.

#### Graph Details:
- The graph is a piecewise linear plot made up of three distinct segments:
  1. **Segment 1**: From \( t = 0 \) seconds to \( t = 5 \) seconds, the velocity is constant at 5 m/s.
  2. **Segment 2**: From \( t = 5 \) seconds to \( t = 10 \) seconds, the velocity increases linearly from 5 m/s to 15 m/s. This segment indicates acceleration.
  3. **Segment 3**: From \( t = 10 \) seconds to \( t = 20 \) seconds, the velocity is constant at 15 m/s, illustrating the car moving at a steady speed.

This piecewise linear graph effectively demonstrates changes in the car's velocity over time, indicating periods of constant speed and acceleration.
Transcribed Image Text:### Velocity-Time Graph for a Car Traveling in a Straight Line The figure displays a graph of \( v_x(t) \), which represents the velocity of a car traveling in a straight line over time. #### Axes Description: - The horizontal axis (x-axis) represents time (\( t \)) in seconds (s), ranging from 0 to 20 seconds. - The vertical axis (y-axis) represents the velocity (\( v_x \)) in meters per second (m/s), ranging from 0 to 20 m/s. #### Graph Details: - The graph is a piecewise linear plot made up of three distinct segments: 1. **Segment 1**: From \( t = 0 \) seconds to \( t = 5 \) seconds, the velocity is constant at 5 m/s. 2. **Segment 2**: From \( t = 5 \) seconds to \( t = 10 \) seconds, the velocity increases linearly from 5 m/s to 15 m/s. This segment indicates acceleration. 3. **Segment 3**: From \( t = 10 \) seconds to \( t = 20 \) seconds, the velocity is constant at 15 m/s, illustrating the car moving at a steady speed. This piecewise linear graph effectively demonstrates changes in the car's velocity over time, indicating periods of constant speed and acceleration.
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