A force F acting on a body depends on its displacement s as  F∝s-1/3 .  The power delivered by F will depend on displacement as

F∝s-1/3 or a∝s-1/3or     vdv∝s-1/3ds         ∵  a=v·dvdsOn integrating, we have v2∝s2/3  or   v∝sV3Now, power,    P=F·v∝s-1/3·s1/3 or ∣P∝s0