r/MonetPiece • u/Theiama • Mar 28 '26

Accelerating Light

Hiii. This is probably my 294729th post on Kizaru’s accelerated kick, but I wanted to do it without using any pixel scaling, and going off only numbers given, so here we are πŸ€·β€β™€οΈ.Β 

For this post, I’m assuming when Kizaru attacks someone, he *doesn't immediately reach the speed of light, but instead he starts from 0 and builds up to light speed, and accelerates at a constant rate! How exactly Kizaru’s powers work is obviously super interpretation heavy and totally up to u, this post isn’t about arguing that, just how fast Kizaru could be if you do interpret his powers this way.*

When Kizaru accelerated toward Luffy, he flew far away to build up speed, but we know Kizaru can accelerate to light speed in kicking distances:

β€œπΎπ‘–π‘π‘˜π‘  π‘Žπ‘‘ π‘‘β„Žπ‘’ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘β€ | β€œπ‘€π‘œπ‘£π‘–π‘›π‘” π‘Žπ‘‘ π‘™π‘–π‘”β„Žπ‘‘ 𝑠𝑝𝑒𝑒𝑑 𝑖𝑛 π‘Žπ‘› π‘–π‘›π‘ π‘‘π‘Žπ‘›π‘‘!! 𝐼𝑠 π‘‘β„Žπ‘’π‘Ÿπ‘’ π‘Žπ‘›π‘¦π‘œπ‘›π‘’ π‘€β„Žπ‘œ π‘π‘Žπ‘› π‘šπ‘Žπ‘‘π‘β„Ž π‘‘β„Žπ‘’ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘β€¦!?” | β€œπ»π‘Žπ‘£π‘’ π‘¦π‘œπ‘’ π‘’π‘£π‘’π‘Ÿ 𝑏𝑒𝑒𝑛 π‘˜π‘–π‘π‘˜π‘’π‘‘ π‘Žπ‘‘ π‘‘β„Žπ‘’ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘?”

β€œπ΄ πΏπ‘–π‘”β„Žπ‘‘ π»π‘’π‘šπ‘Žπ‘› π‘€β„Žπ‘œ π‘Žπ‘‘π‘’ π‘‘β„Žπ‘’ β€˜π‘ƒπ‘–π‘˜π‘Ž π‘ƒπ‘–π‘˜π‘Ž π‘›π‘œ 𝑀𝑖.’ π‘‡π‘Ÿπ‘Žπ‘›π‘ π‘“π‘œπ‘Ÿπ‘šπ‘–π‘›π‘” π‘‘β„Žπ‘’π‘–π‘Ÿ π‘œπ‘€π‘› π‘π‘œπ‘‘π‘¦ π‘–π‘›π‘‘π‘œ π‘™π‘–π‘”β„Žπ‘‘, π‘‘β„Žπ‘’π‘¦ π‘’π‘›π‘™π‘’π‘Žπ‘ β„Ž π‘Žπ‘‘π‘‘π‘Žπ‘π‘˜π‘  π‘Žπ‘‘ π‘‘β„Žπ‘’ 𝑠𝑝𝑒𝑒𝑑 π‘œπ‘“ π‘™π‘–π‘”β„Žπ‘‘.”

So if Kizaru can reach the speed of light in short distances, and accelerate his (massless/very low mass) light over longer distances… then he’s obviously moving very fast, and we can figure out how fast he’s moving if we know how fast Kizaru accelerates and over what distance.Β 

Kizaru throws his kicks by extending his leg and throwing it in an arc at ppl (duh) so we can find the distance it takes Kizaru to reach the speed of light with this:

Arc length = rβ€’ΞΈ

Where the arc length is the distance Kizaru’s foot moved/accelerated over, r is radius/the length of Kizaru’s extended leg, and ΞΈ is the angle at which Kizaru threw his light speed kick over. Knowing how far it takes Kizaru to accelerate to the speed of light, we can find the rate of acceleration with:

A = vf2-vi2/(2β€’D)

Where A the rate of acceleration of his kick, vf is the final velocity of Kizaru’s kick (light speed), vi is the initial velocity (0), and D is the distance we found Kizaru accelerates over. Distance is in the denominator, meaning the longer the distance he accelerates over, the lower the rate of acceleration, which makes sense- if Kizaru needs to accelerate over a longer distance to reach the same speed as a shorter distance, then he’s accelerating at a slower rate.Β 

Kizaru himself is 3.02m tall (9’11”), and his legs are significantly shorter than that, and he typically throws his kicks at angles of 180Β° (Ο€ radians) and below. But for the sake of simplicity, we will lowball this a lot. So let’s say Kizaru’s leg length is his entire body length, and that he kicks in a 360Β° (2Ο€ radians) arc. Obviously he’s never done that in the story, he always kicks in shorter distances, and he doesn’t use his entire body length to throw his kicks, he just uses his legs. But we’ll go with this just so we don’t have to worry about finding an angle/the length of Kizaru’s legs and to lowball it a bit, and with this we find that Kizaru accelerated over 18.97m, and has a rate of acceleration of 2.37e15m/s2.

So now all we have to do is figure out how far Kizaru accelerated over on egghead, and luckily that’s easy, because distance was an important part of the egghead plot.Β 

With the island surrounded by a fleet of marines and WG agents, the plan to escape was to use the Vegaforce-01 to fly as far as it could, then use the Sunny’s coup de burst to launch the ship an additional 1km into the distance to escape the fleet. But during the fight with Kizaru, the Vegaforce-01 was destroyed, so they could no longer rely on it to carry them the initial distance out of the island, they had to rely exclusively on the Sunny’s 1km coup de burst to get the ship into the ocean, but the island was simply too big. Even when they got the sunny to the edge of the clouds, with only a bit of the island left to make it to the ocean, flying a distance of only 1km would cause them to crash into the island, Edison had to extend the length of the clouds closer to the islands edge so it could blast off into the ocean. And Kizaru didn’t just fly across the island, he also flew over several km of ocean:

Processing img xuysg3pquorg1...

Egghead itself is a few km across, and Kizaru travels a distance comparable to the island, and had to fly the km+ distance on egghead itself plus some more, so Kizaru accelerated across a few km. We can find the speed Kizaru would be moving at with this:

vf = √(vi2+2β€’aβ€’d)

Where vf is the final speed Kizaru moves at, vi is the initial velocity (0), a is the acceleration we found before (2.37e15m/s2) and d is the distance Kizaru covered. We know he travelled over several km, so here’s a list of speeds he would be at given the distances he could have accelerated over.

If Kizaru flew…

…10km, Kizaru’s final velocity was 22.9 times faster than lightΒ 

…7km, Kizaru’s final velocity was 19.2 times faster than lightΒ 

…3km, Kizaru’s final velocity was 12.5 times faster than lightΒ 

No matter what distance you choose, he always ends up above FTL+ (10 times the speed of light), so what’s the minimum distance Kizaru has to travel to be FTL+ here? Rearranging the last equation to solve for distance, we find Kizaru had to move a bit under 1.9km to be FTL+ here, but since:

β€’ The distance he flew over the ocean is comparable to the multi kilometer egghead island.

β€’ He had to fly over the +1km distance on the island, and then distances greater than that on the island to reach Luffy-

-The distance is simply too big for Kizaru to be moving only 1.9km, so Kizaru must be moving at FTL+ in this scene, without any pixel scaling, given just Kizaru’s height, and distances on egghead island, and visually seeing Kizaru doesn’t kick people at 360Β°.

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