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Calc Fujitora's meteor velocity (One Piece)

Calculations
Spoiler:
one-piece-4271961.jpg



This is the one I'll be talking about. Some people seem intent on using minimum impact velocity. However, as JWL pointed out...

Why are we using escape velocity at all again? Are we implying the rock has been falling for 20+ minutes now?

Not only that, but OP Earth's atmosphere is larger than our own.

IPgdXRi.png

Angsizing Alabasta (3226.8km) right quick...

2atan(tan(70/2)*(431/327))=85.4

2atan(18.97/(431/tan(85.4/2)))=4.65

d=39,738km

...tells me that impact would take over an hour if the thing were moving at a meager 11km/s.

Law and Doflamingo were certainly not standing around wondering what the hell Fujitora was doing for an entire hour. Furthermore, Block C of the competition began at the exact same time that Dofla and Fujitora arrived at the beach of Green Bit and was still in its early stages after the meteor was dropped. Even more so, the news that Doflamingo's resignation was falsified was released to the public en masse at the exact same time, and after the feat Franky says he had only just learned of the information. When everyone in the streets was raving about it, it'd be a little hard for him to have only heard it an hour later.

Basically, 11km/s just doesn't fit the bill. Indeed, the calculated minimum impact velocity of OP Earth would leave everyone on the beach just standing there for 17 whole minutes. Also completely absurd.

Now the question becomes this: With these circumstances, would an assumed time-frame be warranted? Also, what would that time-frame be, logically?

Edit: Alright, well Dartg seems to advocate a minute, and that's actually what had been thinking.

39738000/60=662300m/s

or about mach 1948.

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