User blog:ThePerpetual/Assorted Hero's Path Calculations for Reference

Just so I can keep track of them on a place that isn't the pages itself. Don't want them to get too cluttered with numbers, right?

Also because, well, I design a story first, then work out how strong that would make the characters, not the other way around. The characters weren't deliberately invented for the purpose of being used on this site, haha.

Lightning-Speed Cannonballs
This one is relatively simple: Captain Darte Jones's flying ship Skyweave uses a Magitek galvanizer to fire leaden cannonballs at the speed of lightning towards his targets without incinerating them due to the immense launce force/friction. This, of course, would carry a lot of energy with the shot:

Mass: Given this was a 5-6 inch diameter shot, about, I'll use a low end (18 lbs., or 8.16 kg), a mid end (24 lbs, or 10.89 kg), and a high end (32 lbs., or 14.52 kg) [source ]

Velocity: 440000 m/s, or the speed of lightning

KE (Low-End): 789888000000 Joules, or 188.79 Tons of TNT

KE (Mid-End): 1054150000000 Joules, or 251.95 Tons of TNT

KE (High-End) 1405540000000 Joules, or 335.93 Tons of TNT

So there's the Multi-City Block. Scales handily to our protagonists, who can block/reflect said shots with their bare hands.

Speaking of, a single swing of a sword/fist (120 degrees) isn't too rough to accomplish for such characters even within a distance as short as one-tenth a meter (or, about 4 inches.) So,

Zain's Height: 5'11" (1.803 m)

Arm Length: 7/15ths of total height, about, or (1.803 x 7/15 = 0.841 m)

This is the "radius" of a complete circular swing about Zain, so we need to find one-third of the circumference (120 degrees) from here-

Radius x 2 = Diameter = 1.682 m

D(π) = Circumference = 5.284 m

C/3 = 1.761 m

So, 1.761 m in the time it takes the lightning-speed projectile to travel 0.1-

(1.761/0.1) = 17.61 times faster than lightning (440000 m/s) = 7748400 m/sec, or Mach 22590.09. 2.58% of light speed... nice.

Zain vs Tessera
There's another thing I can calculate, I think- part of the first battle between Tessera and Zain, immediately before Zain gets the upper hand and inadvertently reawakens the Nureonago form. When I first envisioned this scene in my head, to convey these extreme speeds to myself, I imagined a world where time was nearly stopped entirely, with the rain drops suspended in midair, the wind silent and impotent, and the strikes of lightning in the background moving in incredible slow-motion. What I'm getting at? In the time it takes for this exchange to happen, only a single lightning-strike manages to make it to the earth, its thunderous clap marking it's conclusion.

The exchange consists, first, of ~25 swings on the ground, with 5 ~3 meter dashes scattered throughout followed by Tessera feinting past Zain to land a few more hits, and Superman-punch lift him into the sky beyond the clouds. Recovering from that, Zain intercepts the next blow, a high-speed exchange of swings and dashes (~500 of the former, ~10 more of the latter) ensue, cutting apart the clouds into tiny ribbons and dispersing the rain in all directions. Zain, at last, manages to get the clean shot in, burying his weapon in Tessera's chest and sending the pair of them back to Earth.

But, well, how far was this? The immediate problem I face is that this battle took place in a hollowed-out, dormant volcanic chamber, well above 2000 meters as is commonly assumed for cloud height... that said, Tessera had (slowly) created this thunderstorm herself, relative to her position, prior to this encounter, and so... I suppose I could use something to this effect? I feel I should halve the distance to 1000 m, between the clouds and the top of the mountain, myself, since I generally envision them as being a lot closer.

I'll use three "ends", again- low-end, assuming they only made it to the lowest edge of the clouds and back (1000 x 2 = 2000 m), mid-end, assuming they made it well into the clouds before stopping, fighting, and returning ((1000+1000) x 2 = 4000 m), and high-end, assuming they made it halfway into the height of the storm cloud, which according to this at least is 12000 meters (1000+6000) x 2 = 14000 m). I saw 13000 m floating around, too, so... believable?

Since all of these are relative to the time it took the lightning to strike down, to reach the dormant ~50 meter Yggdrasil tree from said clouds, all distances will be divided by (1000 - 50 =) 950 meters to see how fast, relative to lightning, they are.

First, though, let's count up all the motions (or most of them, anyways):

525 swings x 1.761 m/swing (previously calculated) = 924.5 meters

15 dashes x ~3.0 m/dash = 15.0 meters

Low-End: 2939.5/950 = 3.094 x lightning speed, or

1361360 m/s, or Mach 3968.98.

Mid-End: 4939.5/950 = 5.199 x lightning speed, or

2287560 m/s, or Mach 6669.37

High-End: 14939.5/950 = 15.726 x lightning speed, or

6919440 m/s, or Mach 20173.29.

Woa

Their full mass can't really be applied to KE, I don't think, since both Zain and Tessera are in their kether/lightning forms for both the ascent into and descent from the clouds. I could, however, get the mass of a human arm and an average longsword, and plug those in-

Mass of Arm: ~5.3% of body's total mass (161 lbs. = 73.03 kg), or (0.053 x 73.03 =) 3.87 kg

Mass of Longsword: ~4.5 lbs, or 2.04 kg

3.87 + 2.04 = 5.91 kg

Kinetic Energy (Low-End): 5.4765e+12 Joules, or 1.309 Kilotons of TNT

Kinetic Energy (Mid-End): 1.5463e+13 Joules, or 3.696 Kilotons of TNT

Kinetic Energy (High-End): 1.4148e+14 Joules, or 33.815 Kilotons of TNT

Double Woa

Guess the protagonists are Small Town level by Act I, or something.

Flying to New York
Because I had originally structured this game as per a video game, I had made it so that the protagonists can fly from any location in the game to any other that is cleared of the Banemist in the time it would take for a loading screen to elapse, plus a short cinematic before and after. This totals up, by my estimation, to be 20-30 seconds, about, which will be my timeframes for all such feats henceforth.

Dragonwood, the first location available in the "game" (if we can refer to a fan-made verse as such), is set somewhere in Colorado- where, specifically, I never really determined. One of the first locations unlocked by the protagonists, after Zain and Tessera's initial schism resolves, they hug it out, etc., is New York City, to which a path through the Banemist is cleared.

According to a quick internet search, this is a distance of about 2697 kilometers... so,

Low-End: 2697000 m/30 sec = 89900 m/s, or Mach 262.10

Mid-End: 2697000 m/25 sec = 107880 m/s, or Mach 314.52

High-End: 269700 m/20 sec = 134850 m/s, or Mach 393.15

Nice travel speed feat, which can be casually replicated whenever they feel like making the trip. In fact, I'll bet I can get KE out of this. This time, I'll use Marcus Osion's mass (aka "Magus"), since he's a big boi and his KE as a 210 lbs. (95.25 kg) guy would be > that of Zain and especially Tess, despite being a tad weaker overall-

Low-End KE: 384905700000 Joules, or 91.99 Tons of TNT

Mid-End KE: 554264200000 Joules, or 132.47 Tons of TNT

High-End KE: 866037900000 Joules, or 206.99 Tons of TNT

Well, that's looking pretty consistent about now.

Finally, a lifting strength calculation:

Throwing A Purple Person
Towards the end of the Unseen Village section of the first area Zain encounters, a massive giant, once a sentinel at rest in front of a cave entrance, is petrified into violet Yesod-infused crystal. Zain's response, of course, is to simply pick the sitting statue up, and toss it aside.

But how heavy was it?

Well, for starters, we need to find the mass of the average human, as well as their height. Last I checked, these values were 70 kg and 1.74 meters, about: simple enough.

However, this particular giant belonged to the race of Mountain Giants, which tend to measure roughly 25 feet (7.62 meters) tall. That would make our giant (7.62/1.74 =) 4.38 times taller than the average dude. Assuming roughly average build... that makes him

70 x (4.38)^3 = 5881.94 kg.

But... all of this still assumes the guy is made of meat. Currently, he is made of violet crystal- the closest thing I can think of is amethyst, which has a density of 2.65 g/cubic centimeter (2650 kg/cubic meter.) Compare that to the human body density of 985 kg/cubic meter, and...

5881.94 kg x (2650/985) = 15824.51 kg

So, Class 25. That's not bad.

Final Yield
Act I

Lightning Speed Cannonballs (Low-End): 188.79 Tons of TNT

Lightning Speed Cannonballs (Mid-End): 251.95 Tons of TNT

Lightning Speed Cannonballs (High-End): 335.93 Tons of TNT

Deflecting a Cannonball: 0.0258 C

Zain vs Tessera (Low-End): Mach 3968.98, 1.309 Kilotons of TNT

Zain vs Tessera (Mid-End): Mach 6669.37, 3.696 Kilotons of TNT

Zain vs Tessera (High-End): Mach 20173.29, 33.815 Kilotons of TNT

Flying to New York (Low-End): Mach 262.10, 91.99 Tons of TNT

Flying to New York (Mid-End): Mach 314.52, 132.47 Tons of TNT

Flying to New York (High-End): Mach 393.15, 206.99 Tons of TNT

Lifting A Purple Person: Class 25+

Act II

Note: I will do more later, when I'm less tired.