Hey guys,

So, /u/ImBaffledYT just posted about how far one ender pearl can get you depending on the angle at which your throw it (http://ift.tt/21Ld7SB). It's something others have studied (notably, /u/ThatMumboJumbo and /u/Xisuma).

If you have a limited supplies of pearls, it tells you how to optimally use them. But now if you don't care about throwing many pearls, and what you want is to get somewhere as fast as possible (not in as few pearls as possible), you'd prefer that your pearls travel maybe a bit less far, but fall quicker.

I used some command blocks to set me up for an experiment. I threw 50 pearls for several angles ranging from 30° to 40° (for which pearls travel far) and (automatically) counted how many ticks the pearl remained in the air. Here are the raw results:

- 50 tries at 40°, total: 3087 ticks - 50 tries at 39°, total: 3139 ticks - 50 tries at 38°, total: 3120 ticks - 50 tries at 37°, total: 2981 ticks - 50 tries at 36°, total: 2898 ticks - 50 tries at 35°, total: 2942 ticks - 50 tries at 34°, total: 2846 ticks - 50 tries at 33°, total: 2679 ticks - 50 tries at 32°, total: 2752 ticks - 50 tries at 31°, total: 2689 ticks - 50 tries at 30°, total: 2447 ticks 

It means that pearls thrown at 30° land quicker than pearls thrown at 40°! But they travel slightly less far, so let's see the actual average speed:

- At 40°: 50.292 * 50 / 3087 = 0.81 m/tick - At 39°: 51.235 * 50 / 3139 = 0.82 m/tick - At 38°: 51.159 * 50 / 3120 = 0.82 m/tick - At 37°: 51.572 * 50 / 2981 = 0.87 m/tick - At 36°: 52.098 * 50 / 2898 = 0.90 m/tick - At 35°: 52.577 * 50 / 2942 = 0.90 m/tick - At 34°: 52.709 * 50 / 2846 = 0.93 m/tick - At 33°: 52.371 * 50 / 2679 = 0.98 m/tick - At 32°: 52.807 * 50 / 2752 = 0.96 m/tick - At 31°: 52.388 * 50 / 2689 = 0.97 m/tick - At 30°: 52.567 * 50 / 2447 = 1.07 m/tick 

From 0.0163 m/tick at 40° to 0.0215 m/tick at 30°! That means 30° is a much better angle if you want to go fast (on a surface that is flat enough), as it is about 32% faster!

Now all of that assumes that you throw Ender Pearls instantly as the previous one lands. This is not entirely realistic, so let's add a 3 ticks delay in average between the time you land and the time you throw again. The numbers become:

- At 40°: 50.292 * 50 / 3237 = 0.78 m/tick - At 39°: 51.235 * 50 / 3289 = 0.78 m/tick - At 38°: 51.159 * 50 / 3270 = 0.78 m/tick - At 37°: 51.572 * 50 / 3131 = 0.82 m/tick - At 36°: 52.098 * 50 / 3048 = 0.85 m/tick - At 35°: 52.577 * 50 / 3092 = 0.85 m/tick - At 34°: 52.709 * 50 / 2996 = 0.88 m/tick - At 33°: 52.371 * 50 / 2829 = 0.93 m/tick - At 32°: 52.807 * 50 / 2902 = 0.91 m/tick - At 31°: 52.388 * 50 / 2839 = 0.92 m/tick - At 30°: 52.567 * 50 / 2597 = 1.01 m/tick 

That's still 29% faster at 30° than at 40°!

I didn't except when I started gathering data that the best would be 30°, so I didn't check what happens between 20 and 29. Also, maybe more samples would be better. But I still think it's pretty interesting, since it doesn't give the same guidelines as the other posts and videos.

TL;DR: If you don't have that many pearls and want each of them to take you as far as possible, throw them at about 40°. If you have many pearls and want to travel as fast as possible by throwing them as soon as you land, throw them at 30° (use Feather Falling boots though).