Motion, Acceleration and Net Force
Description and Assumptions
This model is technically applicable to any point particle system. In practice, however, the vector equations in this model are usually split into three one-dimensional equations, so that the One-Dimensional Motion (General) model is nearly as general, and more easily used.
Problem Cues
This model is rarely needed in introductory mechanics, and is presented principally for intellectual completeness of the hierarchy.
Model
Compatible Systems">Compatible Systems
A single point particle (or a system treated as a point particle with position specified by the center of mass).
Relevant Interactions ">Relevant Interactions
Only knowledge of the net external force is required to determine the motion of the system.
Laws of Change "> Laws of Change
Differential Forms
\begin
[ \frac{d\vec{v}}
= \vec
]\end
\begin
[ \frac{d\vec{x}}
= \vec
]\end
_____
Integral Forms
\begin
[ \vec
(t) = \vec
(t_
)+\int_{t_{0}}^
\vec
\;dt]\end
\begin
[ \vec
(t) = \vec
(t_
)+\int_{t_{0}}^
\vec
\;dt]\end
Relevant Examples
None yet.