We see it happen a lot in fiction, but not a lot of people tried to calculate it. At least in the OBD as far as I know.
There have been a few people who actually tried to calculate it. I do need a second opinion on this though.Wouldbi be dumb if I said
I have no clue?
Depends entirely on whether the narrative says it was done with speed or strength. The Maneuvering System in Cyberpunk 2077 for example allows a person to dodge in mid-air, like they're pushing off of it, by simply enhancing their nervous system beyond the norm, and deals entirely with improving a person's reflexes. This is only for a dozen feet or so. Not three hundred meters like the one you calculated.I once calculated the force necessary to jump from a leaf mid-air.
Given that calc was a joke, so it's somewhat high-end, but you could do the same shit to calculate jumping from air. Instead of the leaf just take the pillar of air displaced by a foot kicking downwards. The question is then how high/fast you want to jump.
Although, wouldn't all of that basically be calculating speed from strength? It's essentially the same shit as "how fast does a fist have to be to launch a stone with this and this much energy/momentum".
Reflexes in Cyberpunk 2077 refers to not just reactions but also actual movement in that time you can react. The Maneuvering System specifically is a nervous system based cyberware, and requires that you have reflexes at fourteen. Though I guess the argument can be made that the reason it has that reflex requirement is because otherwise your body can't keep up with your nervous system.I mean... enhancing the nervous system to increase reflexes sounds more like reactions than physical speed, but whatever.
My calc is also not for jumping 300m at once, so the results won't be that different:
Let's assume 330cm^2 = 0.033m^2 for the surface area of a shoe. Let's say they kick 1 meter downwards.
Then the volume of air displaced is 0.033m^2*1m = 0.033m^3.
Density of air is 1.225 kg/m3, so we have 1.225*0.033 = 0.040425kg of weight.
Let's say the character weighs 60kg. Furthermore, I will assume they can jump 2m high from the air, which equals an initial jump speed of 6.25 m/s.
So the character's end momentum is 60kg*6.25 m/s = 375 kg*m/s.
That means for the air we have the relation 375 kg*m/s = 0.040425 kg * speed it was launched with
Solving for speed: 375kg*m/s/0.040425kg = 9276.437847866419295 m/s = Mach 27.
So the speed of the leg that did the kicking of that air could have comparable speed.