Hm. Poked around for some data so we can figure out a window of transformation times for Mercury during her fall. (God, am I a geek or what?)
d = 0.5 * g * t^2
d = distance fallen in meters
g = gravitational acceleration (10 m/s/s on earth)
t = time in seconds
IIRC, Ami was hanging onto the bottom of a fourth-story balcony, making her at the top of the third story. Checking various building standards sites, it looks like a story in a building like that is about 15 feet (9-foot ceilings, 3 feet mechanical space, 1 foot for floor construction). That's approximately 4.6 meters a floor, so assuming a perfectly spherical Ami of uniform density , she has about 14 meters to fall. (Actually 13.8, but who's counting? )
That gives us:
14m = 0.5 * 10 m/s/s * t^2
28m = 10 m/s/s * t^2
2.8 s^2 = t^2
t = SQRT(2.8) seconds
t = 1.6733 seconds
Assuming I didn't bobble any of my 2-decades-old physics.
So, Ami doesn't even have time to invoke the change before she becomes a flat Ami of non-uniform density. Then again, she started falling in slow motion, implying a variable quantity for g, taking this into the realm of very silly calculus...
-- Bob
---------
There is no spork.
d = 0.5 * g * t^2
d = distance fallen in meters
g = gravitational acceleration (10 m/s/s on earth)
t = time in seconds
IIRC, Ami was hanging onto the bottom of a fourth-story balcony, making her at the top of the third story. Checking various building standards sites, it looks like a story in a building like that is about 15 feet (9-foot ceilings, 3 feet mechanical space, 1 foot for floor construction). That's approximately 4.6 meters a floor, so assuming a perfectly spherical Ami of uniform density , she has about 14 meters to fall. (Actually 13.8, but who's counting? )
That gives us:
14m = 0.5 * 10 m/s/s * t^2
28m = 10 m/s/s * t^2
2.8 s^2 = t^2
t = SQRT(2.8) seconds
t = 1.6733 seconds
Assuming I didn't bobble any of my 2-decades-old physics.
So, Ami doesn't even have time to invoke the change before she becomes a flat Ami of non-uniform density. Then again, she started falling in slow motion, implying a variable quantity for g, taking this into the realm of very silly calculus...
-- Bob
---------
There is no spork.