A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s² south. After 6 seconds its velocity will be: a. 20 m/s south b. 43 m/s north c. 20 m/s north d. 7 m/s south Ⓒe. 7 m/s north
A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s² south. After 6 seconds its velocity will be: a. 20 m/s south b. 43 m/s north c. 20 m/s north d. 7 m/s south Ⓒe. 7 m/s north
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
Question
![**Physics Problem on Velocity and Acceleration**
**Question:**
A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s² south. After 6 seconds, its velocity will be:
**Options:**
a. 20 m/s south
b. 43 m/s north
c. 20 m/s north
d. 7 m/s south (Correct answer)
e. 7 m/s north
**Solution:**
To solve this problem, we can use the equation for velocity under constant acceleration:
\[ v = u + at \]
where:
- \( v \) is the final velocity,
- \( u \) is the initial velocity (25 m/s north, which can be taken as +25 m/s),
- \( a \) is the acceleration (-3 m/s² since it is in the opposite direction to the initial velocity, i.e., south),
- \( t \) is the time (6 seconds).
Substituting the values into the equation:
\[ v = 25 \, \text{m/s} + (-3 \, \text{m/s}^2 \times 6 \, \text{s}) \]
\[ v = 25 \, \text{m/s} - 18 \, \text{m/s} \]
\[ v = 7 \, \text{m/s} \, \text{north} \]
However, due to the direction south being negative and north being positive, the final direction will actually be:
\[ 7 \, \text{m/s} \, \text{south} \]
Thus, the correct answer is:
**d. 7 m/s south**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cf67e99-dca3-4ea5-9cc5-1512966e5774%2Fd0218987-7eea-44c5-b593-8ac025aa5267%2Fm7fk3jh_processed.png&w=3840&q=75)
Transcribed Image Text:**Physics Problem on Velocity and Acceleration**
**Question:**
A car moving with an initial velocity of 25 m/s north has a constant acceleration of 3 m/s² south. After 6 seconds, its velocity will be:
**Options:**
a. 20 m/s south
b. 43 m/s north
c. 20 m/s north
d. 7 m/s south (Correct answer)
e. 7 m/s north
**Solution:**
To solve this problem, we can use the equation for velocity under constant acceleration:
\[ v = u + at \]
where:
- \( v \) is the final velocity,
- \( u \) is the initial velocity (25 m/s north, which can be taken as +25 m/s),
- \( a \) is the acceleration (-3 m/s² since it is in the opposite direction to the initial velocity, i.e., south),
- \( t \) is the time (6 seconds).
Substituting the values into the equation:
\[ v = 25 \, \text{m/s} + (-3 \, \text{m/s}^2 \times 6 \, \text{s}) \]
\[ v = 25 \, \text{m/s} - 18 \, \text{m/s} \]
\[ v = 7 \, \text{m/s} \, \text{north} \]
However, due to the direction south being negative and north being positive, the final direction will actually be:
\[ 7 \, \text{m/s} \, \text{south} \]
Thus, the correct answer is:
**d. 7 m/s south**
Expert Solution

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 2 steps with 2 images

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
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON