Exercise 3.35 A river flows due south with a speed of 3.0m/s . A man steers a mo

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Exercise 3.35

A river flows due south with a speed of 3.0m/s . A man steers a motorboat across the river; his velocity relative to the water is 4.1m/s due east. The river is 800m wide.

Part A

What is the magnitude of his velocity relative to the earth?

Express your answer using two significant figures.

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Part B

What is the direction of his velocity relative to the earth?

Express your answer using two significant figures.

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Part C

How much time is required to cross the river?

Express your answer using two significant figures.

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Part D

How far south of his starting point will he reach the opposite bank?

Express your answer using two significant figures.

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Exercise 3.35

A river flows due south with a speed of 3.0m/s . A man steers a motorboat across the river; his velocity relative to the water is 4.1m/s due east. The river is 800m wide.

Part A

What is the magnitude of his velocity relative to the earth?

Express your answer using two significant figures.

v =   m/s  

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Incorrect; Try Again; 5 attempts remaining

Part B

What is the direction of his velocity relative to the earth?

Express your answer using two significant figures.

? =   ? between his velocity and the direction to the east

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Part C

How much time is required to cross the river?

Express your answer using two significant figures.

t =   s  

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Part D

How far south of his starting point will he reach the opposite bank?

Express your answer using two significant figures.

L =   m  

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Explanation / Answer

A.

As

vx = 4.1 m/s
vy = 3.0 m/s

Then

v = 5.08 m/s = 5.1 m/s [ANSWER]

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B.

Angle = 36.19 degrees = 36 degrees between his initial direction and east

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C.

Its x components is 4.1 m/s, and it is 800 m wide. Thus,

t = 800 m / 4.1 m/s = 195.1 s = 200 s [ANSWER]

********************

D.

It travelled at 3.0 m/s due south for 195.1 s. Thus, it travelled

y = 3.0 m/s (195.1 s) = 585.4 m south = 590 m [ANSWER]

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