This chapter provides a comprehensive exploration of kinematic analysis, covering position, velocity, and acceleration analyses for mechanisms. The position analysis section introduces geometric methods and vector loop equations to determine links and points locations for given input values. Velocity and acceleration analyses follow, incorporating relative velocity equations and differentiation techniques to evaluate dynamic behaviors. Special attention is given to Jacobian matrices for analyzing motion at specific points of interest, which is critical in robotic and control applications. Examples, including planar mechanisms with revolute and prismatic pairs, help illustrate the analytical process. The chapter also touches on more advanced configurations like quick-return mechanisms.