It was a school-age best friend’s dad — a physicist at the Stanford Linear Accelerator — who proposed the hypothesis “All animals jump the same height”. Now this did not of course mean that a hippo can jump the same height as a gazelle… what it means is “It seems like the ability to do a standing leap to a given height is fairly independent of the size of an animal’s body.” Humans and cats leap a similar upward distance, and so do grasshoppers.
So the question is, if you apply the square-cube law and the like to the issue of jumping, does scale cancel out? Or does it only approximately do so? Is size an advantage in jumping ability, or a disadvantage, or neither?