Which time segments shows a constant velocity? Which time seemed shows a slow down? Which time segments show speeding up? Where did the object stop or change direction? What is the displacement?

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)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
Which time segments shows a constant velocity? Which time seemed shows a slow down? Which time segments show speeding up? Where did the object stop or change direction? What is the displacement?
The graph displayed is a velocity-time graph showing the relationship between velocity (\(v\)) in meters per second (m/s) and time (\(t\)) in seconds (s). 

### Description:

- **Axes:** 
  - The vertical axis represents velocity (\(v\)) in meters per second, ranging from -8 m/s to 8 m/s.
  - The horizontal axis represents time (\(t\)) in seconds, spanning from 0 to 20 seconds.

### Graph Analysis:

1. **Initial Phase (0 to 5 seconds):**
   - Velocity is constant at -8 m/s, indicating motion in the negative direction at a steady speed.

2. **Acceleration Phase (5 to 10 seconds):**
   - The velocity changes from -8 m/s to 0 m/s. This is a period of acceleration as the object slows down to a stop.

3. **Further Acceleration (10 to 15 seconds):**
   - Velocity increases linearly from 0 m/s to 8 m/s. The object accelerates steadily in the positive direction.

4. **Final Phase (15 to 20 seconds):**
   - Velocity remains constant at 8 m/s, indicating uniform motion in the positive direction.

### Interpretation:

This graph illustrates a transition from uniform negative velocity to uniform positive velocity through a period of acceleration. It can be used to demonstrate the concepts of constant velocity, acceleration, and change of direction in motion.
Transcribed Image Text:The graph displayed is a velocity-time graph showing the relationship between velocity (\(v\)) in meters per second (m/s) and time (\(t\)) in seconds (s). ### Description: - **Axes:** - The vertical axis represents velocity (\(v\)) in meters per second, ranging from -8 m/s to 8 m/s. - The horizontal axis represents time (\(t\)) in seconds, spanning from 0 to 20 seconds. ### Graph Analysis: 1. **Initial Phase (0 to 5 seconds):** - Velocity is constant at -8 m/s, indicating motion in the negative direction at a steady speed. 2. **Acceleration Phase (5 to 10 seconds):** - The velocity changes from -8 m/s to 0 m/s. This is a period of acceleration as the object slows down to a stop. 3. **Further Acceleration (10 to 15 seconds):** - Velocity increases linearly from 0 m/s to 8 m/s. The object accelerates steadily in the positive direction. 4. **Final Phase (15 to 20 seconds):** - Velocity remains constant at 8 m/s, indicating uniform motion in the positive direction. ### Interpretation: This graph illustrates a transition from uniform negative velocity to uniform positive velocity through a period of acceleration. It can be used to demonstrate the concepts of constant velocity, acceleration, and change of direction in motion.
Expert Solution
Step 1

In the graph, when the slope of the curve is zero, the velocity is constant.

The time segment that shows the constant velocity is t=0 s to 4.5 s and t=15.5 s to 20 s.

Step 2

The magnitude of velocity decreases from 8 m/s to 0 m/s in the time duration of t=5 s to 10 s.

Step 3

The magnitude of velocity increases from 0 m/s to 8 m/s in the time duration of t=10 s to 15 s.

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Displacement, velocity and acceleration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON