A person swims in a river aiming to reach exactly opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle 120° with the direction of flow of water. The speed of water in stream is (a) 1.0 m/s (b) 0.5 m/s (c) 0.25 m/s (d) 0.43 m/s

Answer: (c). To reach the opposite point, the swimmer's component along the flow cancels the stream. vr = 0.5 × |cos 120°| = 0.5 × 0.5 = 0.25 m/s So the answer is (c).

A person swims in a river aiming to reach exactly opposite point on… | NEET 1999 (AIPMT)

Q28NEET 1999 · AIPMTMedium

Relative Velocity in Two Dimensions

A person swims in a river aiming to reach exactly opposite point on the bank of a river. His speed of swimming is $0.5\text{ m/s}$ at an angle $120^\circ$ with the direction of flow of water. The speed of water in stream is

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Answer: (c)

To reach the opposite point, the swimmer's component along the flow cancels the stream.
$v_r = 0.5 \times |\cos 120^\circ| = 0.5 \times 0.5 = 0.25\text{ m/s}$
So the answer is (c).

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Relative Velocity in Two Dimensions question from NEET 1999 (AIPMT)

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