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Chapter 2 Particle Kinematics
Kinematics is the study of motions in themselves, that is, without consideration of their causes. In this chapter, we consider the motion of particles , that is, of points in motion in a three-dimensional referential \(\cE\text{,}\) relative to which the observer is attached. A particle \(P\) describes a trajectory relative to \(\cE\text{.}\) At any time, one can define the velocity and acceleration vectors of \(P\text{.}\) These kinematic quantities depend on the choice of referential. Relative to another referential \(\cF\) (itself in motion relative to \(\cE\) ) the trajectory of \(P\) (and the corresponding kinematics) will be different. We will learn how to determine the kinematics of a particle in a variety of ways, given a particular description of its trajectory, or conversely, learn how to find the trajectory of a particle, given a description of its kinematics.