A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream, is

Question

A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream, is (A) 0.25 m / s (B) 0.5 m/s (C) 1.0 m/s (D) 0.433 m/s

Tardigrade Admin · Accepted Answer

The component of velocity of man in opposite direction of the flow is

0.5 \times Cos (18 0^{\circ} - 12 0^{\circ}) =

0.25 m / s

so the velocity of flow(stream) will also be

0.25 m / s

so that the person can oppose the stream and in result he will not be drifted by the stream and will reach directly
opposite side.

Q. A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5m/s at an angle of 120∘ with the direction of flow of water. The speed of water in the stream, is

0.25 m / s

0.5 m/s

1.0 m/s

0.433 m/s

The component of velocity of man in opposite direction of the flow is 0.5×Cos(180∘−120∘)= 0.25m/s so the velocity of flow(stream) will also be 0.25m/s so that the person can oppose the stream and in result he will not be drifted by the stream and will reach directly opposite side.

Q. A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of $0.5 m / s$ at an angle of $12 0^{\circ}$ with the direction of flow of water. The speed of water in the stream, is