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#6 {main}</pre> A swimmer which can swim with velocity straight v subscript 2 relative to water, dives into the river perpendicular to the direction of flow to cross the river. What is the displacement of swimmer when he reaches opposite side of the river?


Width if the river = d km 

Rate of flow of river = v1 m/s

Rate of flow of swimmer = v2 m/s

Given that, the swimmer is diving in a direction perpendicular to the flow of river, to cross the river. 

Therefore, the displacement of the swimmer when he reaches the opposite side of the river is given by, 

                         

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A river d km wide is flowing at rate straight v subscript 1 straight m divided by straight s. A swimmer who can swim with velocity straight v subscript 2 straight m divided by straight s relative to water wants to cross the river straight across. How long will he take to cross the river?


Width of the river = d km 

Rate of flow of river = v1 m/s

Rate at which the swimmer is swimming = v2 m/s

So, time taken by the man to cross the river is, 

                        

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How a swimmer should dive to cross the river straight across?

To cross the river straight across, the swimmer should dive at an angle less than 90° with upstream.
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A man dive in the river perpendicular to the direction of flow. Does he reach the point directly opposite to the point of start?

No, since the man is diving perpendicular to the direction of flow, he will reach the point, a certain distance below the point directly opposite to the point of start.
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A river d km wide is flowing at rate straight v subscript 1 straight m divided by straight s. A swimmer who can swim with velocity straight v subscript 2 straight m divided by straight s relative to water, dives into the river perpendicular to the direction of flow to cross the river. How far he will go down the river along the river.


Given, 
Width f the river = d

Rate of flow of river = v1 m/s

Rate of flow of the swimmer = v2 m/s

Distance moved by the swimmer along the river is given by, 

                        

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