Which path is the fastest 🏁 Brachistochrone Curve | C4D4U

Welcome to a new physics race! We have 5 balls, 5 different curves, and only one goal. Before the balls start rolling: Stop the video and write your favorite in the comments! What do you think? 🚫 NO AI – 100% Handcrafted 3D Animation This video was fully simulated and rendered by me. No artificial intelligence was used. It takes a lot of passion (and rendertime!) to create these physics. 👇 Watch my first Brachistochrone video here: [Link zu deinem ersten Video: https://youtu.be/TIopneBToLQ] ⏱️ Video Chapters: 00:00 The Setup & Question 00:15 The Race starts! 00:25 Slow Motion (Side View) 01:18 Slow Motion (Side View Closer) 01:56 Slow Motion (Top View) 📐 The 4 Curves Compared: The Straight Line (The shortest path): Intuitively, we often think the shortest path results in the fastest time. However, in a race driven solely by gravity, this is a misconception! The straight track doesn't utilize gravity enough at the beginning. The ball accelerates too slowly and loses valuable time in the first few inches. The Circular Arc (The smooth curve): A nice, even arc. It's better than the straight line because it goes downhill more steeply at the start, but is it the absolute optimum? The "Deep" Curve (The extreme dip): A track that dips far below the finish line and rises steeply at the end. At its lowest point, this ball is absolutely the fastest in the entire field because it has converted the maximum amount of potential energy (height) into kinetic energy (speed). So why doesn't it usually win? Quite simply: The detour is too long. The time it gains from the top speed in the valley is lost again because it has to cover a significantly longer distance and is massively slowed down during the tough climb to the finish line. The Perfect Brachistochrone: The word comes from Greek and means "shortest time". The winning curve in this race is the mathematical optimum between "dropping steeply for rapid acceleration" and "not making the path too long". It is the perfect compromise of physics. 🎧 Watch Tip: Enjoy the exciting start with a solid beat, and then lean back during the various camera angles and the slow motion with relaxing piano music. 💻 For the 3D Geeks: All dynamics were calculated physically correctly. To render the multiple camera perspectives and high-resolution slow-motion shots smoothly and realistically, my render computer had to break a sweat again. 👨‍🏫 For Teachers & Students: This video is perfect for demonstrating the conversion of potential to kinetic energy as well as the Brachistochrone problem in the classroom. Feel free to share the video! 🔔 Don't forget to subscribe for more 3D physics experiments: https://www.youtube.com/@C4D4U?sub_confirmation=1 If you haven't heard of it yet, you should take a closer look. https://de.wikipedia.org/wiki/Brachistochrone https://google.com/search?q=brachistochrone+curve More: Gravitational Illusions: Normal: https://youtu.be/09Qnr6BlqSQ 10 x Longer https://youtu.be/xV_JQIo9pnM ♥️♥️♥️-----------♥️♥️♥️-----------♥️♥️♥️ I’m glad you enjoy my animations! If you’d like to support me and my channel, you can leave a small contribution via my PayPal link ( https://www.paypal.com/paypalme/c4d4u ) or use the Super Thanks button. Creating and rendering these videos takes a lot of time and can be quite costly, so I truly appreciate any form of support. Of course, I’m just as happy to have you watching, sharing, and commenting! ♥️♥️♥️-----------♥️♥️♥️-----------♥️♥️♥️ Rendertime: 03 Days 03 Hours 18 Minutes 20 Seconds ------------------------------------------------------------ Rendered by multiple computers! My Equipment: https://c4d4u.one/my-equipment/ ------------------------------------------------------------ In the future I will learn more Blender and Houdini FX. ------------------------------------------------------------------- Official Website: https://c4d4u.one TikTok: https://www.tiktok.com/@c4d4u Twitter: https://twitter.com/C4D4U Facebook: https://www.facebook.com/C4D4U-420803691739156 Instagram: https://www.instagram.com/c4d4u/ ******************************* ❤️❤️❤️ Relax and enjoy this video. ASMR for my eyes. Some people make it happy and satisfied. It also has a calming effect. ASMR = Autonomous sensory meridian response #Brachistochrone #Physics #C4D4U #Simulation