A particle's position is given by x = 7 - 14t + 2t2 (where t is in seconds and x is in meters). (a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.) X The velocity function is the time derivative of the position function. The sign of the velocity vector gives the direction of travel on the x axis. The particle stops when the velocity is zero. m/s (b) Is it moving in the positive or negative direction of x just then? O positive O neither Onegative (c) What is its speed just then? X m/s
A particle's position is given by x = 7 - 14t + 2t2 (where t is in seconds and x is in meters). (a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.) X The velocity function is the time derivative of the position function. The sign of the velocity vector gives the direction of travel on the x axis. The particle stops when the velocity is zero. m/s (b) Is it moving in the positive or negative direction of x just then? O positive O neither Onegative (c) What is its speed just then? X m/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)...
Related questions
Concept explainers
Topic Video
Question
100%
![A particle's position is given by x = 7 - 14t + 2t2 (where t is in seconds and x is in meters).
(a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.)
X
The velocity function is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero. m/s
(b) Is it moving in the positive or negative direction of x just then?
O positive
neither
O negative
(c) What is its speed just then?
X m/s
(d) Is the speed increasing or decreasing just then?
O increasing
O decreasing
O neither
X
(Try answering the next two questions without further calculation.)
(e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, enter NONE.
x
The velocity function is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero. s
(f) Is there a time after t = 4.5 s when the particle is moving in the negative direction of x? If so, give the time t; if
..not..enter.NONE.
Enter a number. unction is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero, s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff87f1e2f-d518-435a-8ae2-1b8cba18ff27%2F44550889-a66a-4baa-a3fc-c13d5aac54fd%2F9effmdg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A particle's position is given by x = 7 - 14t + 2t2 (where t is in seconds and x is in meters).
(a) What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.)
X
The velocity function is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero. m/s
(b) Is it moving in the positive or negative direction of x just then?
O positive
neither
O negative
(c) What is its speed just then?
X m/s
(d) Is the speed increasing or decreasing just then?
O increasing
O decreasing
O neither
X
(Try answering the next two questions without further calculation.)
(e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, enter NONE.
x
The velocity function is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero. s
(f) Is there a time after t = 4.5 s when the particle is moving in the negative direction of x? If so, give the time t; if
..not..enter.NONE.
Enter a number. unction is the time derivative of the position function. The sign of the velocity vector gives the
direction of travel on the x axis. The particle stops when the velocity is zero, s
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON