Velocity and Acceleration as Derivatives of the Position Vector + Example of an Object moving in 2D - 3Speak - YouTube - Summary - Notes - Playlist - Vector Functions playlist

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!

#math #vectors #calculus #physics #Geogebra

David Wilcock's last tweet was about Trump being the Antichrist... And his third-to-last tweet was about cancelling his show yesterday and was going through "intense stuff" on the weekend...

Example 2: Velocity and Acceleration of an Object moving in 3D - 3Speak - YouTube - Summary - Notes - Playlist - Vector Functions playlist

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.

#math #vectors #calculus #physics #Geogebra

Trump posting about rescuing women from Iran but Iran says the women were AI generated????