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vardaan kumar Grade: 11
        

THE FLOW SPEED OF WATER VARIES WITH THE DISTANCE FROM ITS STRAIGHT BANK AS V=(1m1/2s).z1/ 2 where z is the perpendicular distance in m from the bank A.SWIMMER ENTERS THE  RIVER AT A POINT A ON THE BANK AND SWIMS AT 2m/s, IN A DIRN NORMAL TO RIVER FLOW. WHAT IS HIS DRIFT DOWNSTREAM BY THE TIME HIS NORMAL DISTANCE FROM THE bank IS 20m?

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear vardaan


V=z1/ 2


velocity of man =2 m/sec


time taken by man to swim 20 m in normal direction t= 20/2 =10 sec


 


and time taken be man to swim z distance in normal direction t= z/2............1


 


now consider motion from z to z+dz distance time taken by man to travel z to z+dz postion is dt


and for this small distance dz ,velocity of river assumed to be constant V =z1/ 2


so distance moved in downstreem direction in time dt is


ds =z1/ 2 dt


ds =(2t)1/2 dt  from equation 1


ds =(2t)1/2 dt   


S =√2 t3/2 /3/2  limit o to 10 


   =2√2/3 t3/2    limit o to 10


   =40√5/3


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Badiuddin

7 years ago
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