The speed of a boat in still water is V. A river flows with a speed of v,. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and V₁ Hint: Velocity = displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "vo" and "v,": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. Equation 1 (downstream): Equation 2 (upstream): Solve for: = vb Write an algebraic expression; do not use numerical values except for the angles. You can enter subscripts by selecting the MathType popup button (red radical) in the answer box. To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees, enter the value and add the degree symbol symbol (o) by pressing the right-facing arrow next to the division symbol. miles/hour miles/hour vb Downstream positive Vr Upstream negative vr = 14 miles/hour =-7 miles/hour
The speed of a boat in still water is V. A river flows with a speed of v,. The boat travels distance of 14 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V and V₁ Hint: Velocity = displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "vo" and "v,": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. Equation 1 (downstream): Equation 2 (upstream): Solve for: = vb Write an algebraic expression; do not use numerical values except for the angles. You can enter subscripts by selecting the MathType popup button (red radical) in the answer box. To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees, enter the value and add the degree symbol symbol (o) by pressing the right-facing arrow next to the division symbol. miles/hour miles/hour vb Downstream positive Vr Upstream negative vr = 14 miles/hour =-7 miles/hour
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...
Related questions
Question
![r
The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 14
miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V
and V₁.
Hint: Velocity = displacement/time. Displacement can be positive of neagtive depending on the
direction. You will first need to set up the equations by taking into account the resultant velocity of
the boat in flowing water. Consider the direction the river is flowing to be positive.
Set up two equations, one for the downstream journey and one for the upstream journey, in terms of
"V" and "v":
Do V" and "v, add or substract downstream to give the resultant downstream velocity?
Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream
direction as negative. The resultant upstream velocity should be negative.
Equation 1 (downstream):
Equation 2 (upstream):
Solve for:
V₁²
vb
Write an algebraic expression; do not use numerical values except for the angles. You can
enter subscripts by selecting the MathType popup button (red radical) in the answer box.
To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees,
enter the value and add the degree symbol symbol (0) by pressing the right-facing arrow
next to the division symbol.
miles/hour
✔miles/hour
vb
Downstream
positive
Vr
Upstream
negative
Vr
= 14 miles/hour
=-7 miles/hour](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0d98277-14e8-412b-a245-49477b6ba7a8%2Ff5fa36e2-7873-4b38-ac70-e6587eb2b516%2F1yj2a9o_processed.png&w=3840&q=75)
Transcribed Image Text:r
The speed of a boat in still water is V. A river flows with a speed of v₁. The boat travels distance of 14
miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the V
and V₁.
Hint: Velocity = displacement/time. Displacement can be positive of neagtive depending on the
direction. You will first need to set up the equations by taking into account the resultant velocity of
the boat in flowing water. Consider the direction the river is flowing to be positive.
Set up two equations, one for the downstream journey and one for the upstream journey, in terms of
"V" and "v":
Do V" and "v, add or substract downstream to give the resultant downstream velocity?
Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream
direction as negative. The resultant upstream velocity should be negative.
Equation 1 (downstream):
Equation 2 (upstream):
Solve for:
V₁²
vb
Write an algebraic expression; do not use numerical values except for the angles. You can
enter subscripts by selecting the MathType popup button (red radical) in the answer box.
To enter subscripts, press the first right-facing arrow in menu of the popup. For degrees,
enter the value and add the degree symbol symbol (0) by pressing the right-facing arrow
next to the division symbol.
miles/hour
✔miles/hour
vb
Downstream
positive
Vr
Upstream
negative
Vr
= 14 miles/hour
=-7 miles/hour
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.
Step by step
Solved in 5 steps with 31 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Equations are correct. Solving for vr and vb are incorrect
Solution
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
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
![University Physics Volume 1](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
![An Introduction to Physical Science](https://www.bartleby.com/isbn_cover_images/9781305079137/9781305079137_smallCoverImage.gif)
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning