Q. The velocity of a particle is expressed as v = kx2 where v is the velocity and x is displacement along X axis . The particle is at origin ( 0,0)  initially (t = 0 ) . The kinetic   energy of particle after 2 second is 
(A)  5J              (B) 2 J                          (C) 0                         (D) none of these 


dear student 
as v=kx2 dx/x2 =kdt integrate both sides -1/x = kt     k=-1/xt when x= 0 t=0 or k =infinity as x= -1/kt  v=dx/dt =1/kt2  as k = infinite so v=0 or KE remains zero 

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