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?

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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