A river has a steady speed of vg. A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time t.n does it take the student to swim upstream a distance d? Express your answer in terms of d, v, and v tup = v+ v (b) Using the same variables, how much time tdown does it takes to swim back downstream to the starting point? d tdown = v+vs
A river has a steady speed of vg. A student swims upstream a distance d and back to the starting point. (a) If the student can swim at a speed of v in still water, how much time t.n does it take the student to swim upstream a distance d? Express your answer in terms of d, v, and v tup = v+ v (b) Using the same variables, how much time tdown does it takes to swim back downstream to the starting point? d tdown = v+vs
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
![**Topic: Swimming Against and With the Current**
A river has a steady speed of \( v_s \). A student swims upstream a distance \( d \) and back to the starting point.
**Problem a: Time to Swim Upstream**
If the student can swim at a speed of \( v \) in still water, how much time \( t_{\text{up}} \) does it take for the student to swim upstream a distance \( d \)? Express your answer in terms of \( d \), \( v \), and \( v_s \).
\[ t_{\text{up}} = \frac{d}{v - v_s} \]
*Note: There is an error indicated with an "x" next to the equation.*
**Problem b: Time to Swim Downstream**
Using the same variables, how much time \( t_{\text{down}} \) does it take to swim back downstream to the starting point?
\[ t_{\text{down}} = \frac{d}{v + v_s} \]
*Note: There is an error indicated with an "x" next to the equation.*
**Description:**
The image explains a scenario where a student swims in a river with a current. There are two parts: calculating the time to swim upstream against the current and downstream with the current. Equations for both parts are given, but both have a red "x" indicating a mistake. This might be a hint to review and correct or analyze what is incorrect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5f65923-b5e6-4be3-9be2-727b112c89ca%2F801fd181-f66a-4d43-b223-a176acb80306%2F7hh85e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Topic: Swimming Against and With the Current**
A river has a steady speed of \( v_s \). A student swims upstream a distance \( d \) and back to the starting point.
**Problem a: Time to Swim Upstream**
If the student can swim at a speed of \( v \) in still water, how much time \( t_{\text{up}} \) does it take for the student to swim upstream a distance \( d \)? Express your answer in terms of \( d \), \( v \), and \( v_s \).
\[ t_{\text{up}} = \frac{d}{v - v_s} \]
*Note: There is an error indicated with an "x" next to the equation.*
**Problem b: Time to Swim Downstream**
Using the same variables, how much time \( t_{\text{down}} \) does it take to swim back downstream to the starting point?
\[ t_{\text{down}} = \frac{d}{v + v_s} \]
*Note: There is an error indicated with an "x" next to the equation.*
**Description:**
The image explains a scenario where a student swims in a river with a current. There are two parts: calculating the time to swim upstream against the current and downstream with the current. Equations for both parts are given, but both have a red "x" indicating a mistake. This might be a hint to review and correct or analyze what is incorrect.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
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