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Manufacturing suspension systems is not a new or upcoming process, it has been in the market for years but still, the survival of the fittest plays a key role for the respective manufacturer. So, the main objective of the vehicle suspension system is to improve ride comfort, road handling and vehicle stability. A suspension system plays a vital role in a smooth and safe riding experience. So, an analysis of the suspension system should be done, and the results should be in the standard range. In this paper, the simulations of a quarter and half car passive spring and air suspension were analysed for ride comfort and suspension travel by mathematical modelling of the quarter-and-half car with the help of a system of equations.