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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a)Determine the magnitude of the acceleration for the speeding up phase.
b)Determine the magnitude of the acceleration for the slowing down phase.
![**Title: Understanding Velocity-Time Graphs**
**Velocity-Time Graph Analysis**
In the graph provided, we can analyze the motion of an object over a period of time. The graph plots the velocity (v) of the object in meters per second (m/s) on the vertical axis and the time (t) in seconds (s) on the horizontal axis.
**Detailed Explanation:**
- **Axes and Units:**
- **Vertical Axis (Velocity, v):** This axis represents the velocity of the object in meters per second (m/s). The values range from 0 to 1.0 m/s.
- **Horizontal Axis (Time, t):** This axis represents the time in seconds (s). The values range from 0 to 0.60 seconds.
- **Graph Description:**
- The graph starts at the origin (0,0), indicating that the velocity of the object is 0 m/s at 0 seconds.
- As time progresses, the velocity increases linearly, reaching its peak velocity of 1.0 m/s at 0.20 seconds.
- From 0.20 seconds to 0.40 seconds, the velocity decreases linearly, returning to 0 m/s at 0.40 seconds.
- After 0.40 seconds, the velocity remains constant at 0 m/s until 0.60 seconds.
**Interpretation of the Motion:**
1. **Acceleration Phase (0 to 0.20 s):**
- The object accelerates from rest to a velocity of 1.0 m/s in 0.20 seconds. This is indicated by the upward slope of the graph.
2. **Deceleration Phase (0.20 to 0.40 s):**
- The object decelerates back to rest (0 m/s) over the next 0.20 seconds. This is indicated by the downward slope of the graph.
3. **Rest Phase (0.40 to 0.60 s):**
- The object remains at rest with a velocity of 0 m/s for the remaining time from 0.40 seconds to 0.60 seconds. This is indicated by the flat line at the bottom of the graph.
By analyzing the velocity-time graph, we gain valuable insights into the motion of the object, including its periods of acceleration, deceleration, and constant velocity. Understanding such graphs is crucial for comprehending](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ba9f4bb-b2d1-4898-a97c-078cd5f0719b%2Fb507210e-c78a-4f10-9f0c-595babde3c00%2F4f8bcgj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Velocity-Time Graphs**
**Velocity-Time Graph Analysis**
In the graph provided, we can analyze the motion of an object over a period of time. The graph plots the velocity (v) of the object in meters per second (m/s) on the vertical axis and the time (t) in seconds (s) on the horizontal axis.
**Detailed Explanation:**
- **Axes and Units:**
- **Vertical Axis (Velocity, v):** This axis represents the velocity of the object in meters per second (m/s). The values range from 0 to 1.0 m/s.
- **Horizontal Axis (Time, t):** This axis represents the time in seconds (s). The values range from 0 to 0.60 seconds.
- **Graph Description:**
- The graph starts at the origin (0,0), indicating that the velocity of the object is 0 m/s at 0 seconds.
- As time progresses, the velocity increases linearly, reaching its peak velocity of 1.0 m/s at 0.20 seconds.
- From 0.20 seconds to 0.40 seconds, the velocity decreases linearly, returning to 0 m/s at 0.40 seconds.
- After 0.40 seconds, the velocity remains constant at 0 m/s until 0.60 seconds.
**Interpretation of the Motion:**
1. **Acceleration Phase (0 to 0.20 s):**
- The object accelerates from rest to a velocity of 1.0 m/s in 0.20 seconds. This is indicated by the upward slope of the graph.
2. **Deceleration Phase (0.20 to 0.40 s):**
- The object decelerates back to rest (0 m/s) over the next 0.20 seconds. This is indicated by the downward slope of the graph.
3. **Rest Phase (0.40 to 0.60 s):**
- The object remains at rest with a velocity of 0 m/s for the remaining time from 0.40 seconds to 0.60 seconds. This is indicated by the flat line at the bottom of the graph.
By analyzing the velocity-time graph, we gain valuable insights into the motion of the object, including its periods of acceleration, deceleration, and constant velocity. Understanding such graphs is crucial for comprehending
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