A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 26.0 s? What is the position of the particle along the x-axis at time t = 26.0 s? What is the net displacement of the particle between time t = 8.0 s and t = 34.0 s?

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
Question

A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 26.0 s? What is the position of the particle along the x-axis at time t = 26.0 s? What is the net displacement of the particle between time t = 8.0 s and t = 34.0 s?

The image is a velocity vs. time graph. The graph illustrates how velocity changes over a 40-second period. Here is a detailed description:

- **Axes**: 
  - The horizontal axis represents time in seconds (s), ranging from 0 to 40 seconds.
  - The vertical axis represents velocity in meters per second (m/s), ranging from -2 m/s to 4 m/s.

- **Velocity Changes**:
  - From 0 to 5 seconds, the velocity decreases from 0 m/s to -2 m/s.
  - From 5 to 15 seconds, the velocity increases from -2 m/s to 0 m/s.
  - From 15 to 20 seconds, the velocity drops back to -2 m/s.
  - From 20 to 25 seconds, the velocity increases sharply from -2 m/s to 0 m/s.
  - From 25 to 30 seconds, the velocity continues to increase steeply from 0 m/s to approximately 4 m/s.
  - From 30 to 40 seconds, the velocity slightly decreases from about 4 m/s to just above 3 m/s.

- **Line Characteristics**: 
  - The transitions between velocity states are depicted with straight lines, indicating constant acceleration or deceleration during each interval. 
  - The graph includes a dashed horizontal line at 0 m/s to highlight when the velocity crosses from negative to positive values or vice versa.

This graph can be used to study motion, interpret velocity changes, and understand concepts of acceleration.
Transcribed Image Text:The image is a velocity vs. time graph. The graph illustrates how velocity changes over a 40-second period. Here is a detailed description: - **Axes**: - The horizontal axis represents time in seconds (s), ranging from 0 to 40 seconds. - The vertical axis represents velocity in meters per second (m/s), ranging from -2 m/s to 4 m/s. - **Velocity Changes**: - From 0 to 5 seconds, the velocity decreases from 0 m/s to -2 m/s. - From 5 to 15 seconds, the velocity increases from -2 m/s to 0 m/s. - From 15 to 20 seconds, the velocity drops back to -2 m/s. - From 20 to 25 seconds, the velocity increases sharply from -2 m/s to 0 m/s. - From 25 to 30 seconds, the velocity continues to increase steeply from 0 m/s to approximately 4 m/s. - From 30 to 40 seconds, the velocity slightly decreases from about 4 m/s to just above 3 m/s. - **Line Characteristics**: - The transitions between velocity states are depicted with straight lines, indicating constant acceleration or deceleration during each interval. - The graph includes a dashed horizontal line at 0 m/s to highlight when the velocity crosses from negative to positive values or vice versa. This graph can be used to study motion, interpret velocity changes, and understand concepts of acceleration.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

I believe that part C is wrong and isn't the answer that my instructor has provided me with. Is there any other method to solve this problem?

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Distance and Speed
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.
Similar questions
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