A body is moving unidirectionally under the influence of a source of constant power  supplying energy. Which of the diagrams shown below correctly shows the displacement time curve for its motion ?

P=F.v=constant  mdvdtv=P mdv.v =Pdt ∫mvdv=∫Pdt mv22=Pt   v=2Ptm        dxdt=2Ptm ∫dx=2Ptmdt    x=2Pmt32x is proportional to t32dxdt=32t12  Since dx/dt = v = slope increases with time 2 is correct option.