Kinematics: Coordinate Systems and Trajectories

This lecture covers the fundamental concepts of kinematics, including the definition of kinematics, reference frames, coordinate systems, trajectories, and curvilinear abscissa. It explains the relationship between position, velocity, and acceleration in different reference frames and the parametrization of trajectories. The lecture also delves into the concept of instantaneous velocity, scalar velocity, and the equation of motion. Examples of trajectories parametrized by curvilinear abscissa and angles are discussed, providing a comprehensive understanding of motion analysis.