Example 2: Velocity and Acceleration of an Object moving in 3D

https://3speak.tv/watch?v=mes/e8759ef8 In this video, I go over an example of obtaining and graphing the velocity and acceleration vectors of an object moving in 3D whose position vector is known. This follows from my earlier video in which I showed that the velocity of an object is just the derivative of its position vector, and likewise, the acceleration is the derivative of the velocity vector — hence the second derivative of the position vector. The speed of the moving object is obtained just by the magnitude or length of the velocity vector, which we can calculate using the distance formula in 3 dimensions. I also plot this out in the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/3d/h7epqemu #math #vectors #calculus #physics #Geogebra Timestamps: Example 3: Object moving in 3D – 0:00 Solution: Velocity is the first derivative of position, and acceleration is the second derivative – 0:21 Speed is the magnitude of the velocity vector – 2:47 Graphing the velocity and acceleration vectors at t = 1 – 3:56 Inputs for GeoGebra 3D graphing calculator – 9:50 Graphing in GeoGebra – 12:00 Notes and playlists: 3Speak: SOON Summary: https://inleo.io/threads/view/mes/re-leothreads-2eess8dpa Hive Notes: https://peakd.com/hive-128780/@mes/e443f9d3 Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Hxo8aPU3ezG0tcLvgJnxLB . Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

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This episode was published on April 22, 2026.

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