For this problem, assume the values on the axes of the graph have 1 decimal place of precision when measured. An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below.
For this problem, assume the values on the axes of the graph have 1 decimal place of precision when measured. An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below.
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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For this problem, assume the values on the axes of the graph have 1 decimal place of precision when measured.
An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below.
![### Understanding Velocity in Graph Segments
#### (a) Segment Analysis
For each segment of the graph, determine the athlete’s velocity magnitude and direction:
- **Segment A:**
- **Magnitude \( v_A \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_A \):** Positive x, marked as correct.
- **Segment B:**
- **Magnitude \( v_B \):** Input is 0 m/s, marked as correct.
- **Direction \( v_B \):** The magnitude is zero, marked as correct.
- **Segment C:**
- **Magnitude \( v_C \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_C \):** Negative x, marked as correct.
- **Segment D:**
- **Magnitude \( v_D \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_D \):** Positive x, marked as correct.
#### (b) Average Velocity
Calculate the athlete's average velocity over a 60-second interval:
- **Magnitude:** Input is 4.0 m/s, marked as incorrect.
- **Direction:** Positive x, marked as correct.
### Explanation
This exercise focuses on analyzing segments of a velocity graph. Errors in magnitude indicate a need for reevaluation of calculations based on the graph details. Understanding zero magnitude in segment B helps interpret periods of rest. The correct direction selections guide comprehension of directional changes throughout the athlete's movement.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8255fdfa-77ca-49e1-a63f-cf3ce83bf985%2Fa4ca023c-b7cf-4e45-b498-c6b70aa7d817%2Foormp69_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Velocity in Graph Segments
#### (a) Segment Analysis
For each segment of the graph, determine the athlete’s velocity magnitude and direction:
- **Segment A:**
- **Magnitude \( v_A \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_A \):** Positive x, marked as correct.
- **Segment B:**
- **Magnitude \( v_B \):** Input is 0 m/s, marked as correct.
- **Direction \( v_B \):** The magnitude is zero, marked as correct.
- **Segment C:**
- **Magnitude \( v_C \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_C \):** Negative x, marked as correct.
- **Segment D:**
- **Magnitude \( v_D \):** Input is 4.0 m/s, marked as incorrect.
- **Direction \( v_D \):** Positive x, marked as correct.
#### (b) Average Velocity
Calculate the athlete's average velocity over a 60-second interval:
- **Magnitude:** Input is 4.0 m/s, marked as incorrect.
- **Direction:** Positive x, marked as correct.
### Explanation
This exercise focuses on analyzing segments of a velocity graph. Errors in magnitude indicate a need for reevaluation of calculations based on the graph details. Understanding zero magnitude in segment B helps interpret periods of rest. The correct direction selections guide comprehension of directional changes throughout the athlete's movement.
![The image shows a graph depicting the movement of an object over time, with distance on the y-axis and time on the x-axis. The y-axis is labeled \(x(m)\) representing distance in meters, while the x-axis is labeled \(t(s)\) indicating time in seconds. The graph is structured as follows:
- **Segment A (0 to 15 seconds):** The graph starts at the origin (0, 0), and the object moves in a positive direction from 0 to 60 meters over the first 15 seconds. This indicates a uniform motion with a steady increase in distance.
- **Segment B (15 to 25 seconds):** From 15 to 25 seconds, the graph is flat at 60 meters, reflecting that the object is stationary during this interval as there is no change in distance over time.
- **Segment C (25 to 40 seconds):** Between 25 and 40 seconds, the graph slopes downwards from 60 meters to 40 meters, indicating the object is moving backward or returning toward the starting point.
- **Segment D (40 to 60 seconds):** In the final segment, from 40 to 60 seconds, the graph shows a steep upward trajectory from 40 meters to 100 meters. This suggests the object is moving forward quickly, covering more distance in a shorter time span.
The graph is divided into sections marked by the letters A, B, C, and D for ease of reference, illustrating different phases of motion over the course of 60 seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8255fdfa-77ca-49e1-a63f-cf3ce83bf985%2Fa4ca023c-b7cf-4e45-b498-c6b70aa7d817%2Fzyohwcq_processed.png&w=3840&q=75)
Transcribed Image Text:The image shows a graph depicting the movement of an object over time, with distance on the y-axis and time on the x-axis. The y-axis is labeled \(x(m)\) representing distance in meters, while the x-axis is labeled \(t(s)\) indicating time in seconds. The graph is structured as follows:
- **Segment A (0 to 15 seconds):** The graph starts at the origin (0, 0), and the object moves in a positive direction from 0 to 60 meters over the first 15 seconds. This indicates a uniform motion with a steady increase in distance.
- **Segment B (15 to 25 seconds):** From 15 to 25 seconds, the graph is flat at 60 meters, reflecting that the object is stationary during this interval as there is no change in distance over time.
- **Segment C (25 to 40 seconds):** Between 25 and 40 seconds, the graph slopes downwards from 60 meters to 40 meters, indicating the object is moving backward or returning toward the starting point.
- **Segment D (40 to 60 seconds):** In the final segment, from 40 to 60 seconds, the graph shows a steep upward trajectory from 40 meters to 100 meters. This suggests the object is moving forward quickly, covering more distance in a shorter time span.
The graph is divided into sections marked by the letters A, B, C, and D for ease of reference, illustrating different phases of motion over the course of 60 seconds.
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