@integral4u: The brachistochrone problem is one of those ideas that completely changes the way you think about motion. The fastest path between two points is not a straight line. By using calculus of variations, mathematicians discovered that a curve allows an object to gain speed early and arrive sooner than it would on the direct path. A result that feels impossible at first becomes inevitable once the mathematics is worked out. Sometimes the shortest distance is not the fastest journey, and that is exactly why mathematics is so fascinating. This is my latest animation exploring one of the most beautiful problems ever solved.#fyp #fypシ #math

Integral
Integral
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Thursday 23 July 2026 19:36:40 GMT
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wicked5502
Wick :
This is with gravity if you were on a plane the fastest route would be the straightest path
2026-07-24 06:23:11
1500
marshnotmello
Marsh Not Mello :
This is with an external force of gravity
2026-07-24 18:06:40
569
janelovesbabyfood
janelovesbabyfood :
doesn’t this only work on a curved surface tho?
2026-07-24 23:12:10
20
illvefatbabues
illvefatbabues :
Dosent matter how long it takes you you’ll get there aslong as you keep trying
2026-09-01 20:08:35
30
cruella_de_vil____
Cruella De Vil :
I don’t think that’s the correct equation. What is ds?
2026-07-25 21:54:13
6
4xii0m
4xii0m :
i knew i wouldnt regret watching Vsauce
2026-09-05 03:44:15
1
some1notjimenaa
💤 :
there’s so much I yet don’t know
2026-07-26 00:00:01
14
broimsepen
zepen :
that’s because the curved path is the shortest because it takes the shortest time to go there, so it is the shortest past
2026-08-30 04:03:27
2
__shadesofcooll
Keilee ͛𖦹 :
I don’t even know what I’m staring at rn.
2026-09-05 20:36:44
1
vwar984
w :
تعريف الوسطيه :
2026-08-29 23:13:36
5
lo_zio2
zef3s :
that's only because of the fall speed if it was in horizontal the straight its the fastes
2026-08-29 16:57:05
17
jennyyy.73
jennyyy.73 :
This is incredible, I’ve never thought of it this way
2026-07-24 04:49:05
5
natamarcal
Luc么 疲れ :
Pode anotar que vou aprender matemática a nível avançado
2026-08-28 21:10:20
6
arnoltorresramire6
Arnol :
Acaso Bernoulli durmió antes de encontrar las curvas de descenso más rápido?" by peter parker
2026-08-29 00:25:41
7
atlas.unlocked
lyxcele :
thought this was gonna transition into an sbr edit
2026-07-26 00:51:32
3
mrcamr
Mr Camr :
That looks like the backlight of a Cls63 and it’s peak
2026-09-03 10:34:17
1
mark.e..phoenix
Mark D. Phoenix :
I only know the brachistochrome cuz of vsauce (my spelling is ass, I know)
2026-09-05 07:56:54
1
fuwafuwagai
FuwaFuwa :
same method applied in racing
2026-07-25 09:17:25
1
redwolfgg212
Andwee12 :
Just because earth looks straight doesn’t mean it’s flat
2026-08-30 07:44:52
1
roberto_ripp
Roberto Ripp :
Just be a cycloid..brutal 🌹
2026-07-25 01:48:35
1
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