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  • swimmer crosses the river along the line making an angle of 45º with the direction of flow. Velocity of the river is 5 m/s. Swimmer takes 6 seconds to cross the river of width 60 m. The veloci

swimmer crosses the river along the line making an angle of 45º with the direction of flow. Velocity of the river is 5 m/s. Swimmer takes 6 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be:

Option: 1

10 m/s                                                                                 

 


Option: 2

12 m/s       


Option: 3

5\sqrt{5} m/s      


Option: 4

10m/s


Answers (1)

best_answer

River flow along y direction with a velocity of 5 j  m/s.
The swimmer crossover along the vector:  i + j  since angle is 45 degree
displacement of swimmer just after crossing = 60 i + 60 j  meters
speed of swimmer withrespect to to stationary observer
     = (60 i + 60 j) / 6  m/s = 10 i + 10 j   m/s
velocity of swimmer relative to the river = 10 i + 10 j - 5 j 
 magnitude of velocity relative to river = 5√5 m/s

 

Posted by

Pankaj

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