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Motion In A Plane

Question
CBSEENPH11018490

A river d km wide is flowing at a rate straight v subscript 1 straight m divided by straight s. 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. How far he will go down the river along the river?

Solution
When the swimmer dives perpendicular to river, then time taken by swimmer to cross the river is,
                           straight t equals straight d over straight v subscript 2
            
The distance which the swimmer will go down the river along the river is,
                      BC equals straight v subscript 1 straight t
space space space space space equals straight d straight v subscript 1 over straight v subscript 2