@JaDroppingScience

Hey, I wanted to point out a few things: 

First, you could have solved the differential equation analytically (and I encourage anyone who wants a challenge to do so), but I wanted to introduce numerical solutions (in this case it also was easier). I'll do an analytic solution for something with drag sometime in the future. I think for the next one I'm going to try to do a scenario that's a bit more unique and possibly has more things interacting. 

Second, after reviewing the footage, I believe the biggest single factor was an improper estimation of the parachute diameter. When I measured the parachute halfway through the fall, it seems like it was a few centimeters larger than 17.5. However, trying to adjust the line to get it to match the result is lame imo and could lead to problems. So, for the integrity of the line, I'm going to try to never adjust measurements in any deliberate way to get it to match the line. Sometimes, I may measure things after (like in the coin flip video), but then I'll just plug them into the already solved solution. 

Last, doing the numerical solution this way was slightly different than the way you'd probably do it normally, where you'd use just a bunch of steps instead of connecting the dots (Euler's method), but I felt like this was the best way to showcase it. Since the step-size is small enough, both ways would be fine and get the same result. Also, saying we are "integrating" each step is kind of weird but I wanted to add that just so that people get familiar with the area under the curve corresponding to the change of the next value. 

Thanks for watching!

@wlysam1600

Sophisticated release mechanism 💀

@tf9956

I guessed over. Figured the change of parachute diameter would impact the acceleration more than expected.

@danielrhouck

I’ll take the under; he falls faster.  Most things I can think of make him tumble a bit, or the chute crumple, or otherwise not fall as cleanly, usually leading to a higher terminal velocity.

@lucyd266

This is super cool! I love math/physics, and seeing you take real world concepts and apply the concepts we’ve all learned in school to them so seemingly effortlessly is super interesting. I always look forward to when the next video in this series releases!

@rodrodrodrodrod

I’ve got all these right so far, this is a really fun video series

@mrstar3218

After watching a butt ton of yt videos I finally understand kinematics and integration enough to play(calculate) along.

@isacdeeznutz7050

The sophisticated release mechanism was more impressive than the maths

@swagdaddy5387

As an engineering student it’s cool to see practical applications of physics, most of the stuff my professors did was just theoretical/on paper. I still guessed under because the parachute and man weren’t made as perfect as a theoretical model was, but I was wrong

@catsandwich1406

Oh come on, I was thinking about turbulence but also the parachute wouldn't open up quickly enough, man my streak

@jhawk_1471

Depth to match diameter of parachute-biggest missing factor

@Julian-ij2zm

I've got all these wrong so far, this is a really fun video series

@curiousniffler6364

Holy shit the bots...
Really fun video concept! I'm looking forward to the next one!

@Sgt_Church

The over has hit, 😂 as he face plants the wall changing the calc some

@patrickbaker7014

Let me know if I’ve stuffed something up, but I think you might’ve made a mistake in your calculations somewhere to get 1.65? Both by solving the differential and the numerical excel method, I got a time of 1.86s.

Funnily enough this would make the real case super close to the theoretical, only a 3.2% error.

@ronnietexan

I was with you until you said "kinematics" my eyes glazed over and I spaced out. LOL!

@juegolosgames6421

I KNEW IT, I was also calculating on the side trying to get the answer. Overall great video :) you learn something new everyday!

@jessfoster5490

Lol nice Survivor reference.

@pinapear3158

the smell of the air made it over garage air is denser, trust i have 26 PhDs in smell-ology

@CarsonTrue-k6t

Ahh yes my two greatest hobbies, science and gambling!