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What is the average instantaneous speed of the runner during this 16 s time interval?

What is the average instantaneous speed of the runner during this 16 s time interval?

College Physics
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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What is the average instantaneous speed of the runner during this 16 s time interval?

The graph shown is a velocity-time graph depicting the motion of an object over a period of 16 seconds. **Description of the Graph:** - **Axes:** - The horizontal axis represents time in seconds (s), marked from 0 to 16 seconds. - The vertical axis represents velocity in meters per second (m/s), ranging from -10 to 10 m/s. **Plot Details:** 1. At time \( t = 0 \) seconds, the velocity is 0 m/s. 2. From \( t = 0 \) to \( t = 2 \) seconds, the velocity increases linearly to 8 m/s. 3. From \( t = 2 \) to \( t = 4 \) seconds, the velocity decreases linearly back to 0 m/s. 4. From \( t = 4 \) to \( t = 6 \) seconds, the velocity continues to decrease linearly to -8 m/s. 5. From \( t = 6 \) to \( t = 8 \) seconds, the velocity increases linearly to 5 m/s. 6. From \( t = 8 \) to \( t = 12 \) seconds, the velocity decreases linearly back to 0 m/s. 7. From \( t = 12 \) to \( t = 14 \) seconds, the velocity continues to decrease to -5 m/s. 8. Finally, from \( t = 14 \) to \( t = 16 \) seconds, the velocity increases back to 5 m/s. **Interpretation:** - The graph illustrates changes in velocity over time, indicating alternating periods of acceleration and deceleration. - Positive velocity values indicate motion in one direction, while negative values indicate motion in the opposite direction. - The zero crossings of the velocity indicate points where the object momentarily comes to rest before changing direction.
Transcribed Image Text:The graph shown is a velocity-time graph depicting the motion of an object over a period of 16 seconds. **Description of the Graph:** - **Axes:** - The horizontal axis represents time in seconds (s), marked from 0 to 16 seconds. - The vertical axis represents velocity in meters per second (m/s), ranging from -10 to 10 m/s. **Plot Details:** 1. At time \( t = 0 \) seconds, the velocity is 0 m/s. 2. From \( t = 0 \) to \( t = 2 \) seconds, the velocity increases linearly to 8 m/s. 3. From \( t = 2 \) to \( t = 4 \) seconds, the velocity decreases linearly back to 0 m/s. 4. From \( t = 4 \) to \( t = 6 \) seconds, the velocity continues to decrease linearly to -8 m/s. 5. From \( t = 6 \) to \( t = 8 \) seconds, the velocity increases linearly to 5 m/s. 6. From \( t = 8 \) to \( t = 12 \) seconds, the velocity decreases linearly back to 0 m/s. 7. From \( t = 12 \) to \( t = 14 \) seconds, the velocity continues to decrease to -5 m/s. 8. Finally, from \( t = 14 \) to \( t = 16 \) seconds, the velocity increases back to 5 m/s. **Interpretation:** - The graph illustrates changes in velocity over time, indicating alternating periods of acceleration and deceleration. - Positive velocity values indicate motion in one direction, while negative values indicate motion in the opposite direction. - The zero crossings of the velocity indicate points where the object momentarily comes to rest before changing direction.
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