Bindal said:
Thunderous Cacophony said:
Terminal velocity of a human: ~192 km/h. (Figures are unavailable for man-sized turtles and mushrooms are not available at this time.)
Falling for ~6 days, or 144 hours.
Total distance fallen: ~ 27,648 km.
Diameter of the Earth: 12,762 km.
I don't know where the Mushroom Kingdom is, but the planet must be significantly lacking in density if people aren't being crushed by gravity.
You're assuming
a) that a koopa is infact falling as fast as a human (they probably fall less)
b) that the koopa was falling for six full days - while he obviously didn't have the full first and last. So cutting it down to around 120 to 130 hours instead of 144 makes more sense.
Also, may I remind you that in the Mushroom Kingdom, overweight plumbers are able to jump several meters in the air?
I've got some time to kill, let's address this. (Tools used: Terminal velocity calculator, [http://www.calctool.org/CALC/eng/aerospace/terminal] Surface Area Calculator, [http://www.csgnetwork.com/surfareacalc.html] Drag Coefficient chart [http://en.wikipedia.org/wiki/Drag_coefficient].
a) The largest turtle I can find [http://www.seaturtles911.org/turtle/green.htm] was 152 cm long and weighed 395 kg. This seems about right for a Koopa; a bit shorter than the average man, but much heavier due to shell weight. With a drag coefficient of 0.42 (approximately semi-spherical shell) and a surface area of approximately 72,583 cm squared, we have a terminal velocity of 15.7617 m/s, or 56.74212 km/h using Moon gravity (see C). Much slower now.
b) Let's assume the Koopa was on the morning shift, and he fell in at 10:00 AM on the dot, and hit the ground at 12:00 PM the next day (they needed light to shine down to illuminate the bottom to see the pile of dead Marios.) That gives us 122 hours of fall time.
c) Physics is wonky when everything appears normal but men can leap high into the air, so I'm assuming Moon gravity (~16% of Earth). This is wrong, given his ability to run normally instead of bounding along, but I can't be arsed to work out how he manages that.
So our final math is...
Terminal velocity of a Koopa: 56.74212 km/h.
Time Fallen: 122 hours.
Total distance fallen: 6922.53864 km.
The Koopa has fallen past the radius of the Earth, which means someone else has to calculate the size and density of the Mushroom Kingdom to work out how such a thing is possible.