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100 Lap Race

After my previous video comparing the speed of different movesets [   • Moveset Speed Comparison  ], some people were still unsatisfied. Nahoc suggested jump dive + jump kick, and brianpso suggested slide kicking. After some investigation, I confirmed (as others had told me) that the fastest combination of jump dive with jump kick was 1 jump dive followed by 2 jump kicks. Furthermore, I found that slide kicking took a decent amount of time to reach full speed, and so it became necessary to extend the race track to allow its full potential to be realized. Thus, I created the 100 lap system. From the 1-up that starts the first lap to the red coins that end the 100th lap, the race track spans a distance of 1,106,962. That's over a million units! In the end, the competitors placed as follows: (1) Slide Kicks (maximum average speed 89.725) (2) Jump Dive + 2 Jump Kicks (average speed ~52.7749) (3) Jump Dives (average speed 51.45) (4) Long Jumps (average speed 50.4) Note that all moves but the slide kicks reach their maximum average speed immediately. The slide kicks on the other hand take a bit of time to assymptote at their maximum average speed. You see, the slide kick repeats every 38 frames. On the frame when we press Z, Mario's speed is decreased to 94% of its current value. After that (and before the next Z press), Mario gains 5.55 speed during the slide kick and recover. Hence, the slide kick's speed will increase until the 94% decreases equalizes with the 5.55 increase, at which points it asymptotes. This happens when Mario's speed range is 86.95 to 92.5, since we have both: 92.5 = 86.95 + 5.55 92.5 * 0.94 = 86.95 And with the speed range of [86.95, 92.5], Mario's average speed becomes 89.725. However, it should be noted that the 94% decrease is dependent on the specific floor Mario is on. I believe this figure can have values roughly in the range of 90% to 96%, and so the slide kick's maximum average speed will vary depending on which floor is used. Also, don't feel compelled to watch the whole video. You can just skip to the end of the race if you so desire, since it is quite long. The song I used was a remixed version of Sword Lord's remix of the William tell Overture, which can be found at:    • William tell Overture Remix  .