Trajectories and Motion Equations

This lecture covers the definition of trajectory as the geometric path followed by a moving point. It explains curvilinear abscissa, parametric representation of trajectories, and equations of motion. The lecture also delves into instantaneous velocity, scalar velocity, and properties of velocity vectors. Additionally, it discusses acceleration, including tangential and normal components, and their relation to trajectory curvature. The concepts are illustrated with examples of motion in one dimension and circular motion. The lecture concludes with the integration of differential equations to determine the position of a point under constant acceleration.