Kill La Kill has an insane speed feat in the second episode alone.
1:37
Ryuko cuts many tennis balls into string. The diameter of a tennis ball is between 6.54cm to 6.86cm, or an average of 6.7cm (or 0.067m), and the average height of a 17 year old Japanese girl is 157.9cm (or 1.579m).
445 + 574 = 1019 pixels
1019 pixels = 1.579m
1 pixel = 1.579m/1019 = 0.00154955839m
0.00154955839m X 222 = 0.344001963m
0.00154955839m X 1025 = 1.58829735m
1.58829735m + 0.344001963m = 1.93229931m
= 0.0144975539 rad
= 0.8306486517354871868 degrees
Enter these values through the angscaler, and we have a distance of 4.6214m to the furthest ball.
= 0.647858825 rad
= 37.1195763928966684 degrees
Caclulating as above, Ryuko is 2.3514m away, which means the distance from the furthest ball to Ryuko is 2.27m. The fastest tennis ball serve is by Tilden, and was clocked at going 73.14 m/s. Given Hakodate is embued with a 2 Star Goku Uniform that grants her superhuman powers and her tennis ball attacks can shatter rock and metal, I think it's safe to assume her serves are at least this fast.
T = 2.27/73.14
= 0.0310363686s
The balls are cut so many times they're turned to string. by getting the thickness of these strings, we can determine how thinly the balls were cut, and by proxy, how many times they were cut.
985 pixels = 0.067m
0.067m/2 = 0.0335m
1 pixel = 0.067m/985 = 6.80203046e-5m
6.80203046e-5m X 8 = 0.000544162437m
Now for the number of times the ball was cut, longways and acrossways.
0.067/0.000544162437 = 123.12500
That's the number of times each individual ball was cut. Cutting 123.125 times vertically and 123.125 times horizontally means that each ball was cut 246.25 times. Next we need the distance Ryuko swings her arms with the Scissor Blade, which given how the tennis balls are coming at her would be at a 180 angle at least, so we'll find the distance slashed as half the circumference of a circle.
C = 2πr
= 2 X π X 1.93229931
= 12.1409946/2
= 6.0704973m
Now we just need to count the balls. All of them. Iwandesu already counted and got 220, but it's best to be safe, so let's recount them. (Inhales)
214 balls, which is pretty close to Iwan's count. All that's left is to find out the distance cut, and we can get our speed.
D = 6.0704973m X 246.25
= 1494.85996m X 214
= 319900.031m/0.0310363686s
= 10307263.6/340.29
= Mach 30289.6459
That's ridiculously fast! However, I've seen another way of scaling this feat, based on how far the balls flew from Hakodate before they got cut apart, so I'm going to try that out too.
535 pixels = 1.579m
1 pixel = 1.579m/535 = 0.00295140187m
0.00295140187m X 113 = 0.333508411m
89 pixels = 0.333508411m
1 pixel = 0.333508411m/89 = 0.00374728552m
0.00374728552m X 1512 = 5.66589571m
= 0.0317392844 rad
= 1.81852704088992434 degrees
Going through the scaling process above once more, and the distance to the largest tennis ball is 2.1108m away.
128 + 158 = 286 pixels
= 0.18856836 rad
= 10.804171177730332 degrees
That gets us a distance of 8.3488m to Ryuko.
D = 8.3488m - 2.1108m
= 6.23800m
D = 6.23800m - 5.66589571m
= 0.57210429m
T = 0.57210429/73.14
= 0.00782204389s
T = 319900.031m/0.00782204389s
= 40897243.2/299792458 X 100
= 13.6418519% C
Last but absolutely not least, let's go by the number of tennis balls given in the show itself...
110 Million (110,000,000).
(Low end)
T = 6.0704973m X 246.25
= 1494.85996m X 110000000
= 164434595600m/0.0310363686s
= 5.29812613e12/299792458
= 17672.6465 C
(High end)
T = 6.0704973m X 246.25
= 1494.85996m X 110000000
= 164434595600m/0.00782204389s
= 2.10219474e13/299792458
= 70121.6686 C
Final Results
Ryuko cuts up tennis balls (low end - 214 balls) = Mach 30289.646
Ryuko cuts up tennis balls (high end - 214 balls) = 13.642% C
Ryuko cuts up tennis balls (low end - 111000000 balls) = 17672.647 C
Ryuko cuts up tennis balls (high end - 111000000 balls) = 70121.669 C
1:37
1019 pixels = 1.579m
1 pixel = 1.579m/1019 = 0.00154955839m
0.00154955839m X 222 = 0.344001963m
0.00154955839m X 1025 = 1.58829735m
1.58829735m + 0.344001963m = 1.93229931m
= 2*atan(22/(1438/tan(70/2)))
= 0.0144975539 rad
= 0.8306486517354871868 degrees
Enter these values through the angscaler, and we have a distance of 4.6214m to the furthest ball.
= 2*atan(1019/(1438/tan(70/2)))
= 0.647858825 rad
= 37.1195763928966684 degrees
Caclulating as above, Ryuko is 2.3514m away, which means the distance from the furthest ball to Ryuko is 2.27m. The fastest tennis ball serve is by Tilden, and was clocked at going 73.14 m/s. Given Hakodate is embued with a 2 Star Goku Uniform that grants her superhuman powers and her tennis ball attacks can shatter rock and metal, I think it's safe to assume her serves are at least this fast.
T = 2.27/73.14
= 0.0310363686s
The balls are cut so many times they're turned to string. by getting the thickness of these strings, we can determine how thinly the balls were cut, and by proxy, how many times they were cut.
0.067m/2 = 0.0335m
1 pixel = 0.067m/985 = 6.80203046e-5m
6.80203046e-5m X 8 = 0.000544162437m
Now for the number of times the ball was cut, longways and acrossways.
0.067/0.000544162437 = 123.12500
That's the number of times each individual ball was cut. Cutting 123.125 times vertically and 123.125 times horizontally means that each ball was cut 246.25 times. Next we need the distance Ryuko swings her arms with the Scissor Blade, which given how the tennis balls are coming at her would be at a 180 angle at least, so we'll find the distance slashed as half the circumference of a circle.
C = 2πr
= 2 X π X 1.93229931
= 12.1409946/2
= 6.0704973m
Now we just need to count the balls. All of them. Iwandesu already counted and got 220, but it's best to be safe, so let's recount them. (Inhales)
D = 6.0704973m X 246.25
= 1494.85996m X 214
= 319900.031m/0.0310363686s
= 10307263.6/340.29
= Mach 30289.6459
That's ridiculously fast! However, I've seen another way of scaling this feat, based on how far the balls flew from Hakodate before they got cut apart, so I'm going to try that out too.
1 pixel = 1.579m/535 = 0.00295140187m
0.00295140187m X 113 = 0.333508411m
1 pixel = 0.333508411m/89 = 0.00374728552m
0.00374728552m X 1512 = 5.66589571m
= 2*atan(48/(1433/tan(70/2)))
= 0.0317392844 rad
= 1.81852704088992434 degrees
Going through the scaling process above once more, and the distance to the largest tennis ball is 2.1108m away.
128 + 158 = 286 pixels
= 2*atan(286/(1433/tan(70/2)))
= 0.18856836 rad
= 10.804171177730332 degrees
That gets us a distance of 8.3488m to Ryuko.
D = 8.3488m - 2.1108m
= 6.23800m
D = 6.23800m - 5.66589571m
= 0.57210429m
T = 0.57210429/73.14
= 0.00782204389s
T = 319900.031m/0.00782204389s
= 40897243.2/299792458 X 100
= 13.6418519% C
Last but absolutely not least, let's go by the number of tennis balls given in the show itself...
(Low end)
T = 6.0704973m X 246.25
= 1494.85996m X 110000000
= 164434595600m/0.0310363686s
= 5.29812613e12/299792458
= 17672.6465 C
(High end)
T = 6.0704973m X 246.25
= 1494.85996m X 110000000
= 164434595600m/0.00782204389s
= 2.10219474e13/299792458
= 70121.6686 C
Final Results
Ryuko cuts up tennis balls (low end - 214 balls) = Mach 30289.646
Ryuko cuts up tennis balls (high end - 214 balls) = 13.642% C
Ryuko cuts up tennis balls (low end - 111000000 balls) = 17672.647 C
Ryuko cuts up tennis balls (high end - 111000000 balls) = 70121.669 C
