Problem 3.831 of 23Constants | Periodic TableThe speed of a boat in still water is v. The boat is to make around trip in a river whose current travels at speed u.Previous Answers Request AnswerSubmitX Incorrect; Try Again; 4 attempts remainingPart BDerive a formula for the time needed to make a round trip of total distance D if the boat makes the round trip by moving directly across the river andback,Express your answer in terms of the variables D, v, and u.ν ΑΣφRequest AnswerSubmitNext >Provide Feedback 1 of 23Problem 3.83Constants | Periodic TableThe speed of a boat in still water is v. The boat is to make around trip in a river whose current travels at speed u.Part ADerive a formula for the time needed to make a round trip of total distance Dif the boat makes the round trip by moving upstream and backdownstream.Express your answer in terms of the variables D, v, and u.t = 2D( - u²)Previous Answers Request AnswerSubmitX Incorrect; Try Again; 4 attempts remaining

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Asked Jan 31, 2020
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Please help me. Make sure to give clear answers for all the parts they are attached as 2 screenshots and this problem has 2 parts. 

Problem 3.83
1 of 23
Constants | Periodic Table
The speed of a boat in still water is v. The boat is to make a
round trip in a river whose current travels at speed u.
Previous Answers Request Answer
Submit
X Incorrect; Try Again; 4 attempts remaining
Part B
Derive a formula for the time needed to make a round trip of total distance D if the boat makes the round trip by moving directly across the river and
back,
Express your answer in terms of the variables D, v, and u.
ν ΑΣφ
Request Answer
Submit
Next >
Provide Feedback
help_outline

Image Transcriptionclose

Problem 3.83 1 of 23 Constants | Periodic Table The speed of a boat in still water is v. The boat is to make a round trip in a river whose current travels at speed u. Previous Answers Request Answer Submit X Incorrect; Try Again; 4 attempts remaining Part B Derive a formula for the time needed to make a round trip of total distance D if the boat makes the round trip by moving directly across the river and back, Express your answer in terms of the variables D, v, and u. ν ΑΣφ Request Answer Submit Next > Provide Feedback

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1 of 23
Problem 3.83
Constants | Periodic Table
The speed of a boat in still water is v. The boat is to make a
round trip in a river whose current travels at speed u.
Part A
Derive a formula for the time needed to make a round trip of total distance Dif the boat makes the round trip by moving upstream and back
downstream.
Express your answer in terms of the variables D, v, and u.
t = 2D
( - u²)
Previous Answers Request Answer
Submit
X Incorrect; Try Again; 4 attempts remaining
help_outline

Image Transcriptionclose

1 of 23 Problem 3.83 Constants | Periodic Table The speed of a boat in still water is v. The boat is to make a round trip in a river whose current travels at speed u. Part A Derive a formula for the time needed to make a round trip of total distance Dif the boat makes the round trip by moving upstream and back downstream. Express your answer in terms of the variables D, v, and u. t = 2D ( - u²) Previous Answers Request Answer Submit X Incorrect; Try Again; 4 attempts remaining

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Expert Answer

Step 1

Given:

The speed of a boat in still water = v.

Current speed of river = u.

Step 2

Part a)

The total distance = D.

The distance covered in upstream motion = D/2.

The distance covered in downstream motion = D/2.

Now,

Let, the time taken in upward motion = t1.

The time taken in downward motion = t2.

Relative velocity of boat in upward motion = v-u.

Relative velocity of boat in downward motion = v+u.

Physics homework question answer, step 2, image 1
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Step 3

Part b)

When boat travel across the river then vector of velocity of river and vector of v...

Physics homework question answer, step 3, image 1
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