- #1

- 185

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## Main Question or Discussion Point

I was thinking about the 1/2 in KE = 1/2*m*v

I thought about how strange it was, and then I realized that as a function on velocity (v), kinetic energy is the antiderivative function of momentum.

However, I am very confused as to what that implies. My question is very vague, but what exactly is the relationship between momentum and kinetic energy in the real world? Is 1/6*m*v

^{2}I thought about how strange it was, and then I realized that as a function on velocity (v), kinetic energy is the antiderivative function of momentum.

However, I am very confused as to what that implies. My question is very vague, but what exactly is the relationship between momentum and kinetic energy in the real world? Is 1/6*m*v

^{3}meaningful?