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NEET 2000 (AIPMT) · Relative Velocity in Two Dimensions

Relative Velocity in Two Dimensions question from NEET 2000 (AIPMT)

Q27NEET 2000 · AIPMTEasy

Relative Velocity in Two Dimensions

The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river along the shortest path in 15 min. Then the velocity of river stream is

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Answer: (a)

Shortest path: resultant velocity is straight across, $v_{res} = \frac{1\text{ km}}{0.25\text{ h}} = 4\text{ km/h}$ .
$v_r = \sqrt{v_b^2 - v_{res}^2} = \sqrt{25 - 16} = 3\text{ km/h}$
So the answer is (a) 3 km/hr.

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