Calc Kill La Kill - Taste the power of BONKS

Uzu bonks Nui many times, and claims to be faster than light, the Inumuta says he isn't. So just how fast is it? For a change, we'll get the timeframe first.
Timeframe is 1 frame.

T = 1s/24
= 41.6666667ms

With that done, how many times does Nui get bonked in the timeframe?
That's 40 bonks. Now, we'll get the distance Uzu has to thrust his sword. For that, we'll need Nui's height. TO get that, we'll scale her height from the official "height chart"...
...and the unofficial scaling from it.
Nui isn't on this chart, but we can find her height scaled from Ryuko, who according to the above is 164cm tall.
537 pixels = 164cm
1 pixel = 164cm/537 = 0.305400372cm
0.305400372cm X 315 = 96.2011172cm
265 pixels = 96.2011172cm
1 pixel = 96.2011172cm/265 = 0.363023084cm
0.363023084cm X 154 = 55.9055549cm

Now let's find Nui's full height.
383 pixels = 55.9055549cm
1 pixel = 55.9055549cm/383 = 0.145967506cm
0.145967506cm X 963 = 140.566708cm

Now we have Nui's height, let's get scaling her to Blade Regalia.
69 + 49 = 118 pixels
118 pixels = 140.566708cm
1 pixel = 140.566708cm/118 = 1.19124329cm
1.19124329cm X 59 = 70.2833541cm

At last, we get to the distance between Nui and Uzu. We'll go with a low end and a high end. Firstly, for the low end.
169 + 141 = 310 pixels
310 pixels = 140.566708cm
1 pixel = 140.566708cm/310 = 0.453440994cm
0.453440994cm X 839 = 380.436994cm

Now, we multiply that distance by the number of thrusts Uzu made in the timeframe (that being 40).

D = 380.436994cm X 40
= 15217.4798cm (152.174798m)

T = 152.174798m/41.6666667ms
= 3652.19515/340.29
= Mach 10.7325962

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(113/(1439/tan(70/2)))
= 0.0743799542 rad
= 4.261657456046933135 degrees

Good ol' angscaler, same straight busta. Distance to Uzu's leg is 944.49cm. Once again we times by the number of thrusts Uzu made.

D = 944.49cm X 40
= 37779.6cm (377.79600m)

T = 377.79600m/41.6666667ms
= 9067.10399/340.29
= Mach 26.6452261

Final Results
Nui Harime's height = 140.567cm
Uzu bonks Nui (low end) = Mach 10.733
Uzu bonks Nui (high end) = Mach 26.645

Nowhere near the speed of light (you'd need to have at least tens of thousands of attacks for that), or even near the best speed feat in the series, but it's still good for consistencies sake.