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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.