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Motion in A Plane question

2000 · Q146
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Motion in A Plane question

2000 · Q146

NEETPhysicsMotion in A PlaneMCQ+4 / −1
The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min. Then the velocity of river stream is
  1. A
    3 km/hr
  2. B
    4 km/hr
  3. C
    29\sqrt {29}29​ km/hr
  4. D
    41\sqrt {41}41​ km/hr.
View written solutionFree

Correct answer: A

vResultant=1 km1/4 hr=4 km/hr{v_{{\mathop{\rm Resultant}\nolimits} }} = {{1\,km} \over {1/4\,hr}} = 4\,km/hrvResultant​=1/4hr1km​=4km/hr

∴\therefore∴ vRiver=52−42=3 km/hr{v_{River}} = \sqrt {{5^2} - {4^2}} = 3\,km/hrvRiver​=52−42​=3km/hr

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