Mathematical Breakdown of Stage 4 Times

[Eclipse]

So after watching Sasuke 31, I was curious about how Morimoto's pacing compared to previous seasons, so I decided to create a spreadsheet to calculate this. Since different seasons have different Stage 4 layouts, they cannot be compared directly, so it was necessary to calculate speeds on a per obstacle basis. Additionally, there is a transition between the Heavenly Cling or Spider Climb into the Tsuna Nobori that should not be counted, as it does not reflect climbing time. 

I went through the footage for each season, and grabbed the frame data of the timer for every competitor at both ends of the transitions. The 'end' of spider climb was the peak of their final climbing movement when both hands and feet are stationary. The 'end' of heavenly climb was the moment their hand first grabs the rope. The 'start' of Tsuna Nobori is the moment that they are no longer in contact with the Rope/Ladder during their first upwards movement. I then calculated speed using the frame data for the timers, and the estimated heights compiled in Sasukepedia. I used this to calculate speed in m/s, as well as provide estimates for if they could clear a Pure Tsuna, an estimate of if they could clear Sasuke 28's Tsuna, and the time needed to clear their season. In Yamamoto's Sasuke 7 run and Takahasi's Sasuke 17 run I measured up until they stopped moving.

This data may not be exactly accurate due to possible inaccuracies in the Timers provided by G4/TBS, as well as the lack of exact measures on Sasukepedia, but it should still be a very good approximate measurement.

Image  1 contains the Tsuna Nobori Times/Speeds
Image 2 contains the Spider Climb and Heavenly Ladder Times/Speeds

It does appear that Morimoto holds the fastest pacing for both Tsuna Nobori and Spider Climb! =D

If you have any questions let me know

[SasukeForever]

This is great, except Yuuji had 45 seconds for the Final Stage in 22, not 40. Other than that, this is fantastic, thanks so much!

[Eclipse]

Jul 2, 2015 19:21:32 GMT -5 SasukeForever said:

This is great, except Yuuji had 45 seconds for the Final Stage in 22, not 40. Other than that, this is fantastic, thanks so much!

Thanks for pointing that out. So correct the table and post the revision

[Eclipse]

Jul 2, 2015 19:21:32 GMT -5 SasukeForever said:

This is great, except Yuuji had 45 seconds for the Final Stage in 22, not 40. Other than that, this is fantastic, thanks so much!

Alright, I've gone through, and double checked the times to make sure the math is correct. The new version is up

[lhii789]

Wow.
Nice statistics.

[cole77000]

I think it is interesting that you used 28's rope climb as a point of reference. Because the rope climb in 28 was so long, I wonder if we could predict whether or not even Morimoto could have completed it if we include his decrease in climbing speed on the 31 final stage rope to extrapolate his motion history for a longer rope.

[Eclipse]

Jul 3, 2015 15:33:12 GMT -5 cole77000 said:

I think it is interesting that you used 28's rope climb as a point of reference. Because the rope climb in 28 was so long, I wonder if we could predict whether or not even Morimoto could have completed it if we include his decrease in climbing speed on the 31 final stage rope to extrapolate his motion history for a longer rope.

Alright, so theoretical situation:

- Transition time can be removed entirely, since there is no transition in a pure Tsuna
- Since it begins on the ground, you can measure from the upright position, rather than grabbing rope.

Given the exact numbers from the run, then Morimoto would reach 12/23m in height in 17.31s. That would be his speed if he were tired from the Spider Climb. Since he would not have to do that, his run for 0-12m *could* be fast, giving us the anywhere from 16.31-17.31s for 12m. 

I gathered frame data based on the measurement signs on the tower. Morimoto maintained a pretty constant pace of 0.59m/s for the climb, exhibiting a burst up to 0.73m/s at the end after the timer began. So in this case, at no point did he actually slow down once he got going on the rope. He maintain a relatively smooth pace, and then increased his pace once the timer hit.

IF he were able to start at a slightly faster speed (0.62m/s or faster), and then maintain up till 11m, it complete the top 12m in the same time or slightly less time, he could theoretically beat it. Is this the case? I don't know. But based on his speeds, it is possible. Hence, why I put 'LIKELY'

[Shuberb674]

Sorry to be picky, but Hashimoto was closer to 9.5 than 9m on the rope climb.

Major flaw unfortunately is that with a the sasuke 22-24 calculations, it was the G ROPE not the other version. This rope was darker and slippier, which is why all competitors were slower. For the G rope competitors you should use some kind of multiplier, using Nagano as reference (since he attempted both versions)

Edit: People who did standing starts to rope climbs should also be penalized, becusee standing eliminates about 1m

[Eclipse]

Jul 3, 2015 16:47:04 GMT -5 Shuberb674 said:

Sorry to be picky, but Hashimoto was closer to 9.5 than 9m on the rope climb.

Major flaw unfortunately is that with a the sasuke 22-24 calculations, it was the G ROPE not the other version. This rope was darker and slippier, which is why all competitors were slower. For the G rope competitors you should use some kind of multiplier, using Nagano as reference (since he attempted both versions)

Edit: People who did standing starts to rope climbs should also be penalized, becusee standing eliminates about 1m

No need to apologize. I mentioned I was using some final heights from Sasukepedia, accurate or not. I can look into the implications of Hasimoto being at 9.5 rather than 9. I'm trying to keep this updated an accurate for eventual placement on Sasukepedia.

As far as the G-Rope goes, the multiplier would affect only the columns for "pure Tsuna" and "28 Tsuna" . The main table reflects raw climbing values, G-Rope or not. This would be similar to me trying to calculate what Kane Kosugi's speed might be if there were no rain, or what Kenji Takahashi's speed might have been if he wasn't tangled on the safety cord.  I will, however, go back and mark the G-Ropes on there. As for comparing Nagano, I *could* theoretically use Nagano as a point of comparison, but that would come along with a rather heavy assumption that he would have identical performance on 23 compared to 11, 12, 13 or 17. 

This is accurate, and inaccurate at the same time. Yes it cuts out about 1m, but in the cases of Ladder and Spider climbs, the competitors almost always grab above the bottom (eg. in Sasuke 31 Morimoto grabbed ~1.1m up the rope in his transition). Because I factored in transition times, I should *theoretically* be removing that 1m from EVERY competitor, since post-transition almost every competitor has grabbed the rope above the bottom as well. Is the speed accurate for climbing exactly 10/12/15/20/23m of rope? no. But all speeds are relative to eachother with a relatively low margin of error. In that sense, for 12m it is not necessarily the time it takes to climb 12m exactly, but the time it takes to clear 12m for a level starting point.

[urgentemente]

<bows down to ultimate Sasuke stat god>