Mechanism has been recognized as a substitution for human work and they lay the foundation for the development of the high technology in the world like the evolution of the robotic industry. That is the main reason for the considerable role of kinematic analysis of mechanism in the recent year. It is necessary to take deep research on calculating and simulating the mechanism in kinematic analysis, especially, in term of the crank and slotted lever quick return motion mechanism - one of the most popular mechanism. This paper copes with kinematic analysis of crank and slotted lever quick return motion mechanism that has been studied in three different ways. The modern method is computer aided with the application of the software (SolidWorks) which allows not only to simulate the motion of the mechanism but also to identify the displacement, velocity, acceleration at any specific time. Besides, the calculus and graphical solutions are also applied in order to verify and compare with the modern one. This paper relates to the primary principles of three methods, as well as the benefits and drawbacks of mentioned resolutions. The similar input parameters are implemented and the final results are compared