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

If P=constant =k (assume0P=mdvdtv=k vdv=kmdt on intregating  v22=kmt  or, v=2ktm    dsdt=2kmt12  again on intregating  s∞t32 so as t  increases s also increases as slope of s-t curve is  also positive  and increasing with time so 2 is the correct option