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Question: A river is flowing due east with a speed \(3 \mathrm {~ms} ^ { - 1 }\). A swimmer can swim in still ...

A river is flowing due east with a speed 3 ms−13 \mathrm {~ms} ^ { - 1 }. A swimmer can swim in still water at a speed of . If swimmer starts swimming due north, then the resultant velocity of the swimmer is

A

3 ms−13 \mathrm {~ms} ^ { - 1 }

B

5 ms−15 \mathrm {~ms} ^ { - 1 }

C

D

2 ms−12 \mathrm {~ms} ^ { - 1 }

Answer

5 ms−15 \mathrm {~ms} ^ { - 1 }

Explanation

Solution

Here,

Velocity of water flowing in river,

Velocity of swimmer in still water,

Form figure, The resultant velocity of the swimmer is