A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the following diagrams shown in figure correctly represents the displacement-time curve for its motion? [NCERT Exemplar]

Given. power = constant  As, power,   P=dWdt=F·dsdt=Fdscos0°dt=Fdsdt(∵ Body is moving unidirectionally) P=Fdsdt= constant             (',' P = constant)Now, writing dimensions, (F] [ν] = constant⇒  MLT-2LT-1= constant ⇒  L2 T-3= constant   (∵ mass is constant )⇒  L∝T3/2⇒ Disphcement (d)∝t3/2