Vehicle dynamics like acceleration, braking, and other factors can be controlled based on its speed. This paper design and analyse a fuzzy logic controller to control the speed of a vehicle to achieve the optimum control characteristics. Different number of fuzzy sets and fuzzy membership types known as triangular, trapezoid and Gaussian are configured to obtain the best solution for the problem. The vehicle speed as the inputs for the system is varied to simulate different cases of vehicle movement to determine the effectiveness of the system. The vehicle acceleration as the output is then being tuned to match and decide the vehicle motion appropriately with smooth movement. The effectiveness and the validity of the controller will be verified by some simulations and are assessed based on time consumption. Result has shown that Gaussian membership type has better results for less than four fuzzy sets.