# 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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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.

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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.

Step 3

Part b)

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

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