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This lecture covers the Galilean transformations, which describe the relationship between position, velocity, and acceleration of a point in two reference frames moving at a constant velocity relative to each other. It explains how to express the position vector of a point in different reference frames, derive velocity and acceleration vectors, and discusses the limitations of the Galilean transformations. The instructor also introduces the concept of inertial reference frames and Newton's first law of motion. The lecture emphasizes the importance of understanding these transformations in classical mechanics.