Ya know the drill, another PMMM calc keeps the doctor away.
Feat[]
https://www.youtube.com/watch?v=-f4clXg9n-U
Feat is about 5:24~5:29 in.
We'll be using the distance the bullet covered to discover the timeframe and speed of Homura's legs.
Fun Facts, Low/Mid/Highballs, Sources, and Pasianos[]
- We will be using the velocity of the Walter P5 Compact (Lowball of 350m/s) as the gun is eerily similar to it, not to mention Puella Magi Madoka Magica has a history of introducing real-life guns and weapons.
- The bullet will be the 9x21mm (Mid-ball)
- The bullet's starting distance will be partially after Homura had covered some of her 180 kick as the exact 0 degrees wasn't shown also we will assume she had the maximum movement of 135 degrees, which to those who saw the video is obviously not the case as the bullet had already spiraling 135 degrees from her head. (Low Ball and Massive Low Ball)
- Special Thanks to LordXcano for telling me how to do this calc.
Actual Math[]
Key:
- Ds= Bullet's starting distance away from the left screen
- Df = Final distance away from left screen
- Dx= Distance the Bullet moved
- Dxm= Distance the Bullet moved in millimeters
- Bl = Bullet length in pixels or millimeters
352px (Ds) - 246px (Df) = 106 px (Dx)
212px (Bl) / 106px (Dx) = 9mm (Bl) /4.5mm (Dxm)
350000 mm (Gun distance per second in mm) / 4.5 mm (Dxm) = 77777.7778x (Divide 1 second by this to get the time taken for the feat, aka 0.0000128571428571 seconds)
458px (Homura's pixels) / 247px (Leg pixels) = 160 cm (Homura's height) / 86.2882 cm (Homura's leg height).
Lowball Value[]
122.0299 cm / 1220.299 mm (<This is what we were looking for) sin (Since this is based on her distance covered down) 135 = 86.2882 cm
1220.299 mm / 0.0000128571428571 seconds * 77777.7778 (To get x mm / 1 second) = 949121444 mm or 94912.1444 m
94912.1444 / 340.29 = Mach 278.9154
Massively Hypersonic
Realistic Value[]
pi*86.288 = 271.0815 cm or 2710.815 mm
2710.815 mm/0.0000128571428571 seconds = 210,841,167mm/s or 210,841.167 m/s Mach 619.59
Higher, but still Massively Hypersonic
Post-Credits[]
Seems kinda outlier-ish, no? Although, Madoka's initial Mach 88 feat wasn't one in which she put much effort into, as she was stalling Walpurgisnacht so that she can transform. A feat 6x in speed actually sounds normal-ish when considering that Homura was struggling hard in comparison to Madoka, who literally was trying to "calm" Walpurgisnacht, not to mention Miki Sayaka and Kyoko casually outpaced the Nightmare who had outrun Madoka's arrows, which again, wasn't even trying to beat it, they tried to lure it to eat some cake (I'm serious).
Status[]
Done