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Question

Question: A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed...

A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 1200 with the direction of flow of water. The speed of water in the stream is

A

1 m/s

B

0.5 m/s

C

0.25 m/s

D

0.433 m/s

Answer

0.25 m/s

Explanation

Solution

sin30o=vrvm=12vr=vm2\sin 30^{o} = \frac{v_{r}}{v_{m}} = \frac{1}{2} \Rightarrow v_{r} = \frac{v_{m}}{2}=0.52=0.25m/s\frac{0.5}{2} = 0.25m ⥂ / ⥂ s