Concept explainers
(a)
To find: The velocity of the car as a function of time.
(a)
Explanation of Solution
Given:
| |
0 | 0 |
0.25 | 0.11 |
0.50 | 0.46 |
0.75 | 1.06 |
1.00 | 1.94 |
1.50 | 4.62 |
2.00 | 8.55 |
2.50 | 13.79 |
3.00 | 20.36 |
3.50 | 28.31 |
4.00 | 37.65 |
4.50 | 48.37 |
5.00 | 60.30 |
5.50 | 73.26 |
6.00 | 87.16 |
Formula used:
Where,
Calculation:
Velocity of the car between interval
The car has this velocity at the midpoint of the interval. i.e.
Velocity of the car between interval
The car has this velocity at the midpoint of the interval,
|
|
|
|
0 | 0 | 0 | 0.00 |
0.25 | 0.11 | 0.125 | 0.44 |
0.50 | 0.46 | 0.375 | 1.40 |
0.75 | 1.06 | 0.625 | 2.40 |
1.00 | 1.94 | 0.875 | 3.52 |
1.50 | 4.62 | 1.25 | 5.36 |
2.00 | 8.55 | 1.75 | 7.86 |
2.50 | 13.79 | 2.25 | 10.48 |
3.00 | 20.36 | 2.75 | 13.14 |
3.50 | 28.31 | 3.25 | 15.90 |
4.00 | 37.65 | 3.73 | 18.68 |
4.50 | 48.37 | 4.25 | 21.44 |
5.00 | 60.30 | 4.75 | 23.86 |
5.50 | 73.26 | 5.25 | 25.92 |
6.00 | 87.16 | 5.72 | 27.80 |
The plot of velocity vs time
Conclusion:
Hence, the velocity in m/s as a function of time is:
(b)
To find: The acceleration of the car as a function of time.
(b)
Explanation of Solution
Given:
|
|
0 | 0.00 |
0.125 | 0.44 |
0.375 | 1.40 |
0.625 | 2.40 |
0.875 | 3.52 |
1.25 | 5.36 |
1.75 | 7.86 |
2.25 | 10.48 |
2.75 | 13.14 |
3.25 | 15.90 |
3.73 | 18.68 |
4.25 | 21.44 |
4.75 | 23.86 |
5.25 | 25.92 |
5.72 | 27.80 |
Formula used:
Where,
Calculation:
Acceleration of the car between
The car has this acceleration at the midpoint of time interval. i.e.
Therefore, the table of acceleration as the function of time:
|
|
|
|
0 | 0.00 | 0.00 | 0 |
0.125 | 0.44 | 0.063 | 3.52 |
0.375 | 1.40 | 0.25 | 3.84 |
0.625 | 2.40 | 0.50 | 4.00 |
0.875 | 3.52 | 0.75 | 4.48 |
1.25 | 5.36 | 1.06 | 4.91 |
1.75 | 7.86 | 1.50 | 5.00 |
2.25 | 10.48 | 2.00 | 5.24 |
2.75 | 13.14 | 2.50 | 5.32 |
3.25 | 15.90 | 3.00 | 5.52 |
3.73 | 18.68 | 3.50 | 5.56 |
4.25 | 21.44 | 4.00 | 5.52 |
4.75 | 23.86 | 4.50 | 4.84 |
5.25 | 25.92 | 5.00 | 4.12 |
5.72 | 27.80 | 5.50 | 3.76 |
The plot of acceleration vs time:
Conclusion:
Hence, the acceleration in
Chapter 2 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
Physics: Principles with Applications
Essential University Physics: Volume 2 (3rd Edition)
Conceptual Physical Science (6th Edition)
Cosmic Perspective Fundamentals
University Physics with Modern Physics (14th Edition)
Life in the Universe (4th Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON