Polar Coordinates: Position and Velocity

This lecture covers the concept of polar coordinates, focusing on the position and velocity vectors in both Cartesian and polar coordinates. The instructor explains how to parametrize a point using polar coordinates, derive the position and velocity vectors, and calculate the acceleration. The lecture also delves into cylindrical and spherical coordinates, discussing the rotation of vectors and the derivatives of unit vectors. The formulas of Poisson are introduced to find the derivatives of base vectors. The concepts are illustrated with examples and applications in mechanics.