Velocity and Acceleration as Derivatives of the Position Vector + Example of an Object moving in 2D
In this video, I show that the derivative of the position vector of a particle moving in 3D space is just the velocity, and likewise the acceleration is obtained as the derivative of the velocity. Thus, just knowing the position vector, we can obtain the velocity and acceleration vectors of the particle. And the speed of the object is obtained by calculating the magnitude or length of the velocity vector, which we can calculate via the distance formula. I go over an example of an object moving in 2D to illustrate this, as well as making an awesome calculator with GeoGebra!
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#math #vectors #calculus #physics #Geogebra
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Wow, this is awesome.
Thanks for breaking it down into very simple and an easy way to follow.
I find the example in 2D helpful as well.
Thanks for sharing.
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