Editing Acceleration (section)

== Coordinate systems ==
In multi-dimensional [[Cartesian coordinate system]]s, acceleration is broken up into components that correspond with each dimensional axis of the coordinate system. In a two-dimensional system, where there is an x-axis and a y-axis, corresponding acceleration components are defined as<ref>{{Cite web |title=The Feynman Lectures on Physics Vol. I Ch. 9: Newton's Laws of Dynamics |url=https://www.feynmanlectures.caltech.edu/I_09.html |access-date=2024-01-04 |website=www.feynmanlectures.caltech.edu}}</ref><math display="block">a_x=dv_x/dt=d^2x/dt^2,</math> <math display="block">a_y=dv_y/dt=d^2y/dt^2.</math>The two-dimensional acceleration vector is then defined as <math>\textbf{a}=<a_x, a_y></math>. The magnitude of this vector is found by the [[Euclidean distance|distance formula]] as<math display="block">|a|=\sqrt{a_x^2+a_y^2}.</math>In three-dimensional systems where there is an additional z-axis, the corresponding acceleration component is defined as<math display="block">a_z=dv_z/dt=d^2z/dt^2.</math>The three-dimensional acceleration vector is defined as <math>\textbf{a}=<a_x, a_y, a_z></math> with its magnitude being determined by<math display="block">|a|=\sqrt{a_x^2+a_y^2+a_z^2}.</math>