Gravity
Proof and Proving Lyrics

We have lyrics for these tracks by Proof and Proving:

A Welcome First Verse [B.G.] Is you bout what I brang nigga? Biggety-…
A.N.D.rew Text away excuse. Today I bet I'll find the courage to…
For Austria Dearest friend: I'm going mad looking back at what fun I…
Lobotomy With these words that I just can't get and a look…

No It's Just Different Tick marks etched in a wall, in a closet, in a…
Parental Advisory I feel it important to state that I support the…
The Good News This is a coming of age - a time, period, place…

Where in the Simile Am I? A cogent simile: an architect's building - a source of pride…

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01Dear Mother0:29

02Where in the Simile Am I?2:19

03Parental Advisory2:55

PT2M18S

12While Away the Mice Will Play1:36

13No, It's Just Different2:24

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Comments from YouTube:

@Wordzwurth

1y↑4.4K

and now we know why the bumpy slide in the playground was super scary!!

@twelved4983

1y↑193

The real question wasn’t if the bumpy slides were scary…

It was which was more painful when hot: plastic or metal slides?

@Nitekom

1y↑65

@@twelved4983 Obviously metal is the winner here, one of those slides once when I was a little boy left me with a bad burn on my thigh just because it happened that I was wearing shorts

@joe.5103

1y↑23

Also why so many people get hurt on those gigantic bumpy ones that you slide down on potato sacks.

@Nitekom

1y↑22

@@joe.5103 Sometimes you go a little too fast and the slide throws you a little too high and you not always fall perfectly

@tuneboyz5634

1y↑2

ur a smol baby 🥰

34 More Replies...

@Dsschuh

19w↑171

"No magnets. Only physics is involved."
Even if this experiment included magnets, I'm sure physics would still be involved.

@GodlikeIridium

17w↑1

Good observation ^^

@adrimay

15w↑2

I think what he meant by "pure physics" is Newtonian Physics/Classical Mechanics, though I understand your observation

@AbDirkie

12w

It's pretty obvious what he meant, that there are no hidden differences between the two tracks.

@farhansadik5423

12w

redditor spotted

@arjunparjapati9220

11w

He fools all of you । Because your observation is basic

@MM-ey2ll

1y↑987

Lesson: A straight path is the shortest way indeed, but no one said it is the fastest...

@sudhanshu2802

36w↑40

Well only if you're travelling downwards, gravity helps. The way back up would require more energy on the bumpy side than on the perfectly inclined.

@sudhindra

36w↑4

@@sudhanshu2802nice one

@josip_giuseppe

35w

@@sudhanshu2802
Speed at finish point is same no matter of curve. Difference in gravity potential energy is the same.
Time is different beacuse it depends on the slope of the curve.
Shortest time curve is cycloid.
Google problem of brahistochrone.

@synchromation9491

35w↑7

@@sudhanshu2802 one small issue tho... gravity doesnt exist

@sudhanshu2802

35w

@@synchromation9491 eml5.

33 More Replies...

@McArRuIzO

1y↑2.5K

The anticipation of waiting for him to roll the balls was infuriating.

@vortexsky3982

1y↑37

Really for real

@stevenwild39

1y↑57

First law of boredom. A watched ball never rolls.

@jerlinej3516

1y↑20

Yeah but it gave me enough time to figure out the answer 😅

@TheFlopped2979

1y↑32

He was just trying to make you stay on the video enough to get his view revenue.

@automattmobileelectrical

1y↑3

If it is interesting you dont get boorde and intelligence deprives from being interested . 😁

49 More Replies...

@radomirdelic5105

20w↑12

Both ramp do not have the same distance. The left path is longer which make this even more interesting.

@Jah_Rastafari_ORIG

51w↑104

Well, in my house, at least, one ball always hangs lower...

@alsmith7382

19w↑1

@@Hydromon99 Subway footlong leaves the chat....

@kelvinkiprotich3524

19w↑3

Is it I'm overthinking on your comment or 😅😅

@billnoname8093

18w

I can fix that for you, Stick you in the freezer for about a half hour, nothing will be hanging.

@ItzIBIXAMV

14w

Its your ball(private part) which one of it hangs lower 😂

@Arangasamy

1y↑1.7K

Life lesson:

Struggles gives victory, not smoothness .

@playerscience

1y↑60

That's a great take away! Awesome 😎

@josephnebeker7976

1y↑19

Unless you wanted your day to go slowly.

@waqozhaan8046

1y↑11

@@josephnebeker7976hence time is relative

@winterheat

1y↑9

it is more like fall faster to succeed

@CaptainCat1234

1y↑1

Yap. Struggles gi

41 More Replies...

@timmcdonald9856

20w↑4

My understanding would be different. Friction only accounts for a fraction of the difference. The remainder is accounted for by the fact that the ball on the bumpy road had almost all its potential energy converted to velocity, while the ball on the straight incline converted a good portion into angular momentum, or rotation of the ball.

@schniependonk

20w↑20

When hiking with my parents during my childhood I already learned: A shortcut is the biggest distance between two points.

@sjiz

1y↑219

'The impediment to action advances action, What stands in the way becomes the way' - Marcus Aurelius

@grandrapids57

1y↑8

super quote

@erinmac4750

47w↑5

Didn't expect our man Marcus to jump into this conversation. Genius.

@Imperial_Cosmonaut

36w

once again the gods spread cheeks and ram coc in asss. I will earn my glory in the sands of the arena!

@dannypowell594

29w↑4

I farted

@yamondakawazuki8941

25w

@@dannypowell594 i just had to drop my phone and clap, love ya

3 More Replies...

@johnhorne9977

47w↑5

Don't forget to notice the ultimate key to the speed is the upward slope of the "bumpy" path doesn't negate the acceleration of the downward momentum.

@dustymojave

20w↑4

The result is highly dependent on the shape of the bumps. Note the relatively long steep ramps annd the relatively short " landings" in between. If you reversed that ramp the results might be rather different.

@g4l430

19w

Uhh, yeah. Maybe take that another notch and have a long landing without any steep slopes. I think you missed the point entirely.

@billywest4755

1y↑109

Ok… just the opposite of what I expected. Thanks for the vid!

@markustunaal-larsen2311

1y↑1

M2!!

@wkgmathguy218

1y↑2

The principle of least action in this case reduced to least time. This is analyzed in the calculus of variations.

Something related happens when light rays go from one medium to another; check out Snell's law.

@chelseylyn

41w

Right lol

@vaticinus

19w↑4

I noticed this in water slides. People seemed to pick up speed faster than you think they should

@daoduy83

19w↑1

Use the left ramp when you go a short distance to get to the finish line earlier, but choose the right one when you need to go for a long distance, it might be slower at first but you’ll get a less bumpy ride 👍🙂

@zlseth

1y↑243

Cool demonstration. I would have liked it even better if you did a slow motion replay.

@brookelord3448

20w↑3

It took too long for the guy's balls to drop but then his balls dropped so quickly we couldn't see exactly what happened. The first half was just wasted time. If he started the video with the balls dropping and then had a slow motion replay it would have been much better. The guy looks like he's 60, his balls should have already dropped 😅

@organichuman

19w↑1

@@brookelord3448😂 You need to stop talking about balls. 😂

@Custos_siderum

18w↑1

I recently just found out this account and I’m absolutely delighted at the content! The videos they post are so fascinating and intriguing and I love their bubbly-sounding voice!

@NEOYT860

12w↑1

Its called Triple-X81 Gravity

@molovichstorch6398

1y↑81

They should have jigs like that in school. Much better than reading words only.

@djjazzyjeff1232

1y↑10

That's because they're teaching for the test rather than teaching for you to understand.

@RaymondTusk74

1y↑4

@@djjazzyjeff1232 No, schools have these things. They also have internet. You’re just cynical.

@djjazzyjeff1232

1y↑5

@@RaymondTusk74 Your school maybe, mine didn't and doesn't lol. Physics class here was just math class with a different hat on.

@KNR90

1y↑1

Except this video actually teaches you nothing

@WelcomeToTiltedTowers

1y↑5

@@KNR90 it shows how momentum works instead of just saying "p = m v"

@abrannan

20w↑1

"Professor Kelly" did not roll two balls down each ramp at the same time. He rolled one ball down each of the two ramps at the same time. Words have meanings.

@boslyporshy6553

13w

Good point. The focus on the same start draws away from the parameters of the ball.

@II-hx9tw

19w↑2

The left side has a much longer path too.

@waynelast1685

1y↑15

Actually I think the ball jumped in the air so had no friction during those times. Also yes , since non conservative forces were involved the motion path can provide different acceleration. But also if I’m not mistaken the Action (physics term) is more minimized by the bumpy path. It’s like a brachistochrone. So there are actually 3 different reasons here.

@Fantasy_Room

14w↑1

Would be interesting if the left ball would also be faster when choosing another point of the sin wave.
Or what will happen when the angle of the slopes is altered.

@ctsingletrack

14w

This is why the 60' time is so important in drag racing. The car that gets up to speed first spends more of the constant distance at speed. The closer you get to the finish line you get, the less it matters how much acceleration is produced because the less time you have to take advantage of that superior velocity.

@jacobzapatasmith3022

1y↑142

The bumpy pathway was actually a greater distance than the straight downward slope!

@Be1Ben

1y↑9

That’s what I was thinking too!

@constantingrecea7571

@@Be1Ben Brachistochrone. It's a fun little Google search that will explain this result.

@imkolip0ki387

48w↑6

The frame cut right before he drops em. Very suspicious

@constantingrecea7571

48w↑15

@@imkolip0ki387 brachistochrone curve. No trickery, just a quirk of physics.

@daszieher

34w↑2

True! The wavy path is longer in trajectory, however, it ends at same height at its endpoint.

Thus the potential energy in both balls is the same at the start.

12 More Replies...

@mjn245

12w

Fun fact: the brachistochrone curve is the name given to the curve of fastest descent. No ball can go faster from A to B than on the brachistochrone curve.

@shahenazmalek5882

14w↑1

Lesson: the more bumps up and down you will go through, the faster you will reach your goal of life....

@anthonychihuahua

1y↑879

I was trying to come up with a joke about momentum..

But I just can’t seem to get it going 😐

@damesurina2629

1y↑37

Shuddup dad :D

@jdw0426

1y↑25

Forced jokes is a dad move.

@castleanthrax1833

You're not the big dog anymore.

@lostpockets2227

1y↑14

HEYOOOOOOOO!!!
*crowd laugh track"

@lordneeko

1y↑11

That's what she said?

34 More Replies...

@PaulHigginbothamSr

20w↑1

The first drop is the most critical. If you looked a a camera freezing forward progress my prediction is the straight ball catching up.

@jimadkinsjima4873

10w

No. The opposite. Longer, bumpy track will go even faster.

@engmahanhazrati

19w

simple explanation of it: right path has an static gravitational assist but left one is dynamic in a way that once it goes down with higher gravitational rate gets a temporary buffer to establish stability and then repeats the same process. sort of like step up buck converter in electronics

@timothygooding9544

1y↑184

earlier acceleration = higher average speed

@cordongrouch9323

1y↑2

Yeah, but is it sinusoidal?

@timothygooding9544

1y↑25

@@cordongrouch9323 it doesnt matter the pattern, generally if you can get a higher acceleration early on you will be at an advantage for the rest of the race

@cordongrouch9323

1y↑3

@@timothygooding9544 That is true and watching falling balls could make for an interesting kinetic sculpture...

@Robert_Emu_Lee

1y↑24

@@timothygooding9544 The path the marbles take does matter. By your logic, the path with a vertical slope at the start would be the fastest. It is not true. It can be shown using Lagrangian mechanics that the curve which minimises the time for the marble to drop down is achieved with a cycloid-shaped ramp. It’s called the brachistochrone problem.

@cmfrtblynmb02

1y↑8

this. it has nothing to do with friction

23 More Replies...

@ocsrc

27w↑2

This is why the slides at carnivals are shaped like the left ramp. To get faster speed on the slide.

@g4l430

19w

Well that and the Burlap Bag theory.

@user-gs7ug4fv5c

19w↑1

Energy is same and force is changing(only in magnitude and not direction )(average) but the velocity keeps increasing

@johnlomax563

1y↑86

I expected to bumpy track take longer because it's lengh was more than the straight track. interesting that it was the opposite of what I expected

@robertwhitten265

1y↑4

Yup, that's what I thought too.

@Burlehmangus

1y↑15

It’s not an accurate demonstration though because the low mass of the ball on the bumpy side causes it to launch into the air skipping much of the track

@samuelyoung2671

1y↑4

Ball accelerates at a higher rate through the steep dips.

@mrdaveythebaby

1y↑1

I think it's because it's a isochronous curve.

@philc8575

1y↑1

@@mrdaveythebaby
The steeper decline leads to faster acceleration and terminal speed.

3 More Replies...

@rogeredwards1396

15w

So I guess this proves that, although the shortest distance between two points is a straight line, the curvy path may be faster.

@Herafg

51w↑1

it depends on the length of the track if the track is one meter more or less, of course it's the track on the right that will win.

@braindecay9477

1y↑50

Obviously the bumpy one, it's just a series of bachistochrones (or however it's spelled lol)

@andrewharrison8436

1y↑2

My thoughts exactly.

@braindecay9477

1y↑1

@@andrewharrison8436 because you're a NEEEERD!

as I am a NEEERD

@Tailspin80

1y↑3

Yes, the explanation in the video is wrong

@n.v.n.prasad132

Brachistochrone

@79419_QuantumComputer

Isn't it basically the optimum curve for speed multiple times

4 More Replies...

@fruityoverlord9937

19w

If they both rolled perfectly, the left one should be slower due to the longer path but I suspect the gravitational potential energy (equal for both as it depends only on the height drop) is converted more into rolling motion on the right while on the left, its there is a lot of sliding. So right side would split the gravitation potential energy into rotational and centre of mass kinetic energy while the left, mostly into centre of mass kinetic energy.

@joebloggs3907

19w

"A bumpy road will get you further in life than a smooth one"

@bettergaming2321

1y↑90

"When it comes to speed, momentum is a powerful thing"

That sounds like an amazing quote. 🤠

@johnashep109

1y↑4

When it comes to momentum speed is a powerful thing,makes more sense to me.

@paulalbornoz9343

1y↑2

In this case the difference is due to aceleration .
So . When it comes to speed ( so to cover the distance ) aceletation makes the difference .

@MrD0980

My wife says the sane thing 😂

@DANGJOS

36w↑3

@@paulalbornoz9343 Yes, exactly! The explanation in this video wasn't very good. The balls aren't colliding or anything, so in this case, the difference between momentum and velocity isn't very relevant. What's more relevant is the difference in acceleration near the beginning.

@zhang2003

23w

@@MrD0980lol

2 More Replies...

@pauliexcluded1

34w↑1

This is super intuitive if you think of it in terms of energy conservation. Note that the "bumpy" path never rises above the straight path. This means that at no point along the path is the bumpy ball rolling slower than the straight path ball at the same location along the paths...but it is often moving faster.

@btsmochimi7924

30w

yes the dips acted as a leverage to maximize the acceleration due to gravity

@neerithedragon298

1y↑37

It would be interesting to see a version of this where the left track would be going up more, so that the ball goes above the straight slope as much as it would go down. I guess in that way they arrive at the same time.

@robloxvids2233

1y↑10

Exactly. The curved ramp is beneath the smooth one almost the entire time.

@guyglover4883

1y↑3

I agree, a third (or even 4th) track would be great.

@paulalbornoz9343

1y↑2

In this case . When the ball clims above the straight slope would desacereate . Then would acelerate more than it did in the video, because the steep donward slope would be longer.
So at the end the final result would be like in the original test.
Since neither the initial.or final condition were changed .

@guyglover4883

@@paulalbornoz9343 it depends on how much is above the straight slope. If more is above than below then the curved track will take longer.

They all end up at the same height and at the same speed but the one that is at higher speeds for longer is the fastest overall.

@rogerpartner2648

22w↑1

Truly all you would be doing would be to Increase the Gravity slope of the wave etc. . Lol infact. It is a silly question a bit like COULD We anull inertia. . If we could we truly could travel faster or less fuel etc.

1 More Replies...

@Papershields001

15w

That’s a good argument for why solid fueled rockets can be superior to liquid ones. More momentum imparted in shorter spirts as the stages drop away.

@pcwcol

20w

The bumpy ride is faster as less energy is transferred into rotational energy of the ball (since its not in continuous contact on the bumpy path and likely slips when it lands)

@siti1ca

1y↑108

i have the same problem with my left ball

@castleanthrax1833

1y↑4

Women would've know the answer. They're familiar with the "two ball juggle".

@michaelbraum77

1y↑4

Me too! I lean to the right cause of it!

@Errr717

1y↑1

HAHAHA

@paulbrouyere1735

1y↑2

I’m also asymmetric lol

@philc8575

You must be left-handed. I have that problem on the right ..

1 More Replies...

@upflick3576

34w

Also when it reaches the bumps and rolls over them it decreases gravitationally weight for a brief moment, and when the weight comes down from up it boosts like a skateboarder does on a pump track.

@robertmarmaduke9721

33w

There is no "friction putting the brakes on!" Friction is converting gravitational kinetic energy into rotational momentum which powers the ball over each hump, while the straight ramp ball only slowly gains rotational momentum. Otherwise it it was jump gravitational momentum they would fall at the same rate.

@Tigerex966

1y↑7

the one with curves has more distance to cover but accelerates more because of inclines.

@thedon9670

1y↑2

*declines

@Tigerex966

@@thedon9670 depends on what side you are on.#

@SomeRandomdUde14

16w

The reason the left side is faster is because the steeper drop allows the ball to accelerate far faster. even though it has to. Travel a farther distance, it takes less time because it is travelling that distance far faster. That being said, it would have been faster if it was just 1 cycloid rather than all those curves.

@autonomousglisteningwater2286

19w

this is also why slamming the breaks, skidding stops slower than pumping the breaks in a stop go motion. that's what the ABS does. it does this stop go motion for you since your autonomic reaction is to slam the breaks. you can see this on skid marks with a broken pattern on the road. physics is interesting.

@Twigs347

1y↑29

"Him: which ball will move faster?

"Me: Who thought the smooth surface ball would reach first

Also him: "If you are like me u will probably think that both balls will reach at the same time

Me: ......

@thingsiplay

That was the true surprise to me too. :D

@kevinmerendino761

Yes that the bumps would have more surface area to cover. I do think it would equal out if 5 - 6 times longer

@saiket1735

20w

Lesson learn: live a straight life rather than a bumpy life, you'll live longer.

@tsv8664

15w

PHun fact here is that according to Conservation of Energy, ignoring rolling friction (reasonable simplification for this situation), both balls arrive at the bottom of the ramp at the same speed! What!? So they arrive at the bottom at the same speed AND the ball on the "bumpy" track travelled a further distance (path length is different but drops same vertical height). Apologies if someone has already raised this...too many responses to check each one.😊

@_abdul

1y↑71

The shortest Space doesn't always mean the shortest Time. Physics is Fascinating.

@joelwexler

1y↑2

Catenary

@ahmetmutlu348

its speculative experiment. on long run answer will be expected one

@max5250

@@ahmetmutlu348 No it wouldn’t.

@ericchin9007

1y↑4

The rate of acceleration is an interesting variable in this situation.

@BenWard29

1y↑1

Principle of least action, baby!

8 More Replies...

@G_Mustafa

13w

Energy is proportional to height, But proportional to the square of velocity.
It means when the total energy has more part of K.E. then it will move fast

@cryptonian8627

1y↑43

Bottom line, the more bumps you over come in the road, the quicker you’ll achieve your goals in life.

@fibonaccisrazor

Very nice analogy, not obvious but has some reality in it.

@johnashep109

Yes

@KNR90

1y↑2

Just wait till you grow up

@MegaTraianus

Only on the way down.

@LordObst

ohh i love it.

3 More Replies...

@BiLatKnee

20w

Where was this guy when I was trying to come up with a science fair idea in high school???

@martinstent5339

20w

Angular momentum of the ball on the straight slope is what really makes the difference. The ball starts rolling slowly because the friction between the ball and the slope means it must roll. Rolling means that the gravitational potential energy is being converted into forward motion and rotational motion. The ball on the bumpy side accelerates down the first steep part of the slope by slipping over the surface and is thus not rotating. It carries on slipping over the surface and not rotating and so can build up speed faster and get to the bottom faster. That’s the reason for the big difference.

@quantumx9729

1y↑116

B R A C H R I S T R A C R O M E

@davisdf3064

1y↑3

Ah yes, the fastest way to anything ever

@NOT_A_ROBOT

1y↑1

Brachistochrone*

@georgert

1y↑16

brachistochrone... with an n

@maynardtrendle820

1y↑8

@@georgert That's what I came to say. You are the faster pedant.

@georgert

1y↑4

@@maynardtrendle820 thank you.

4 More Replies...

@ClearAdventure

1y↑13

We need less talking and more ball rolling.

@FuserOfSouls

19w

Yup 👍

@dananorth895

19w

Lets get it started......lets get it started.

@edbur1

20w

The ball on the bumpy track actually travels a further distance than the one on the straight track. The bumps create a slightly longer track.

@adriankirn7948

1y↑12

Friction doesn't come into play here. It accelerates sooner so it takes less time overall. This is explained by Lagrangian/Hamiltonian mechanics

@tuberhubris4154

20w

Without friction the ball wouldn’t move.

@JackReacher110

20w

@@tuberhubris4154without friction the ball can slip without rolling.

@bottomline99

19w↑1

agree 100%. same speed at bottom. but the bumpy road accellerates it sooner. the difference is nothing to do with friction or momentum

@justliberty4072

Also, less potential energy being converted into rotational energy in the ball.

@rohitraghuwanshi8993

37w

Rig Veda-1-103-2 explains: “The gravitational effect of Solar System keeps the earth stable.”

@pabs4teen-hv5ye

48w

Gravity
-John Mayer

@wilsonkey4138

20w

Similar to how Usain Bolt can run a 60yd dash faster than i could run 40 (when i was younger lol). There's more total ground for him to cover than me, but because of his higher acceleration rate and higher top speed, he'd finish 1st. In this analogy, Usian Bolt's athleticism operates as the gravity that allows the metal ball on the left to accelerate faster.

@251sonimarmik6

1y↑15

It means no matter how bumpy your life could be, u can get out from it faster if u try….

@Samantha-vlly

Good quote of yours

@uweclaunitzer7170

19w

A practical illustration of the Brachistochronen-problem. Very nice.

@Badspot

12w

Where's one of those "speedrunning shorts" compilations when you need them?

@akkad-bakkad

1y↑58

thats why life has hurdles to keep your momentum high 😜

@Ritziey

1y↑2

to go down to the bottom of some unknown 😅😭

@RV-there-Yet

1y↑1

Yep~ what A S said, every word.👏 If life were a straight smooth downhill grade, we'd get to the end but without much interest or comparative value perhaps.

@IXSuperRadGamerXI

1y↑1

Momentum = Life

@tabularasa0606

Problems arise when you start down the slope and have to move up first.

@kuntamdc

Life's hurdles feel like the keep going up though hahaha, oh. I'm sad now.

@dbfcrell8300

20w↑6

You're supposed to yell WEEEE when you let the balls go.

@qa4057

1y↑10

Momentum yes, but slow motion would really help!

@armynyus9123

Settings -> Playback speed 0x25 is your friend

@saltysalt844

48w

@@armynyus9123 you can't do that on short

@armynyus9123

48w

@@saltysalt844 open it in normal yt then.

@goldeneddie

17w

"And that. Officer, is why I was apparently 'speeding' down this bumpy road!"

@avengersethyt

24w

The cause of this is because the ball on the left (with the bumps), has a chance of gaining more momentum and it’s potential energy converting into kinetic energy, while on the right, it’s a straight line with a harder chance of building up momentum and going faster due to the lack of velocity.

@SK-zt9ni

1y↑7

I wanted to watch this a second time to see them rolling again but his intro is like 45 minutes long so I'm just like next.. 🤣

@ahmedwaqas4904

Same here😂

@SK-zt9ni

@@ahmedwaqas4904 vehawa couscous couscous key?

@perpetualmotion357

20w

The force of gravity on the left ball made it skid over the surface without the accelerated friction that took place on the right. Force+mass+gravity and length of the track caused the one on the right to brake slower.

@carlostorres-rivera7200

19w

Under a gravitational field, the fastest path will be a cycloid curve. It’s the path traced by point the circumference of a circle as it rotates.

@sergiuszwinogrodzki6569

1y↑13

I'd even say that the bumpy track was longer, so it's not necessarily the same distance, but indeed the bumpy one accelerated faster from the beginning and used its advantage.

@nogo8989

1y↑1

Longer path doesn't mean longer distance. Distance is calculated as a straight line between point A and B. Which is the same for both sides in this case.

@sergiuszwinogrodzki6569

1y↑1

@@nogo8989 if you're thinking calculus-wise then yes, but yet a longer path can also make a difference I presume. Walking 4 km straight though the mountains is not as easy as doing so on a sidewalk.

@nogo8989

1y↑1

@@sergiuszwinogrodzki6569 yes, but when astrum said both traveled same distance down he meant what you called calculus distance.

@Aeonilluminated

1y↑1

The narrator said "same distance down", which is true. Think only of the height difference between the initial and final positions of the ball and you will find that the narrator's comment makes sense.

@TheTubejunky

1y↑1

@@Aeonilluminated The ball may have experienced more rotations due to the wavy path having greater surface area. It all depends on the "DATA" you need from your observation and how relevant it is to your desired study.

8 More Replies...

@gaDgetHKB

Now I know why we have massive path holes on roads

@Soothsayer-rs5nb

It’s a simple equation speed being one component. Increase the speed and decrease the time it takes to travel form the top to the bottom despite the fact that the ball on the left has to travel a greater distance due to the wave.

@devo1977s

1y↑29

I grew up in the mountains and used to play on the creek that when up the side of the mountain and the areas that were a smooth decline were always a slower trip then the ones with the drops even though the drop section was alot longer

@HeWhoProclaims

Unless you're rolling down this mountain like a human ball.. The shorter smooth and straight hill will be faster my friend.

@christopherwellman2364

What?

@BlaccBoii

18w↑1

just roll the god damn ball

@exploringwithdave5926

20w

This makes perfect sense. The average slope is much deeper on our left, (the right side as seen by the operator). Note that the highest sections are only equal the the height adjacent to the other ramp at their apex, but the acceleration is a squared function, so the momentum carries the ball to the equivalent point much faster each dip and peak.

@siddharthkasera2976

1y↑16

That’s why you should embrace ups and downs in life!!

@radiospazzable

20w

It also wasn't the same distance. The one on the left traveled slightly further but still arrived first.

@charelswells7257

19w↑1

It started out in his youth !

@eXtremeFX2010

1y↑8

Trying with some old school Hotwheels and Track.😄

@matlock8314

20w

Soooo... you achieve success much quicker in life when there are many obstacles before you😊

@kinleydorji9955

18w

Here, distance is something that needs to be taken into account. Have the same paths but make the distance longer (we can actually calculate the threshold distance when the ball in plane surface will overtake the other one). So, if you are considering this case to draw life lesson, think one more time 😂

@hands2hearts-seeds2feedamu83

1y↑18

Just WOW...
With the dip & humps that ball actually had farther to travel. Just wow

@KNR90

1y↑1

It's a brachistochrome

@JimKJeffries

19w

Hell yeah, shortest path always has the mogals & drops.

@frederichcaetano7852

19w

The question is: at what length would the straight ramp win the race?

@muradismailov9702

1y↑7

I believe that this works in the same way for studying as such. When one studies with different intensity he enhances his knowledge faster than one who studies with the same intensity every time

@cornholius

49w

Physics has nothing to do with studying though. Very different things

@elkstereidolon3523

24w

@@cornholius Is that what you were "not taught"?😅

@drBaenz

1y↑1

They don’t go the same distance, the one with the hills had to go a longer way…🪬🇨🇭

@chefdarbari

Ball is gaining potential energy at every bump

@SpaceMiner007

Momentum accelerated by steeper downhill gradients.

@ImNotAnAlienLizardPerson

1y↑6

If you were a skateboarder as a kid this makes total sense!

@cincinnatibrutality0201

20w

The bumpy side has a steeper incline at the beginning. Therefore it gains speed quicker then the other straight path.

@jeromeik8081

19w

The left ball is typically the one that drops faster. Stays lower too.

@andy.robinson

1y↑41

Vsauce, Michael here. Hold my brachistochrone...

@CorporateZombi

Don't use this phrase near the old lady working at Starbucks.

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