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sindhuja P Grade: 11
        

For the motion of a particle, velocity  'v' depends on displacement x as v=20/(3x-2).If at t=0,x=0 then at what time t, the x=20?

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear sindhuja


 v=20/(3x-2)


v= dx/dt=20/(3x-2)


 (3x-2)dx = 20 dt


(3x-2)dx = 20 dt


intigrate


 3 x2/2 -2x  =20t +C


given at t=0 ,x=0


so C=0


3 x2/2 -2x  =20t


now put x =20t


3*202/2 -2*20 =20t


or t= 30-2 =28 sec


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7 years ago
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