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In this video, we explore the different coordinate systems used in kinematics: Cartesian, cylindrical, spherical and Frenet. These coordinate systems are essential for understanding and analyzing movements in space, whether in physics or engineering sciences. This course is intended for all students, whether they are in preparatory classes, engineering schools, high schools, BUT or BTS, and it is particularly useful for approaching key concepts in mechanics. Whether you are at the beginning of your course or already advanced, this video will help you master the basics of kinematics in each coordinate system. As mentioned in the comments, it is useful to remember that the tangent vector 𝑇 is the first derivative of the trajectory, while the normal vector 𝑁 represents the second derivative of the trajectory.