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In this paper, simulation of the adaptive cruise control system with throttle actuator and car engine has been performed. We used static and dynamic models to evaluate the effect of the engine dynamics on the performance of the adaptive cruise control system. In this way, it's possible to review the design of the car speed control system to attain better precision for practical use. For this purpose, at first, the dynamic model of the engine is obtained. Then, by setting the throttle angle and engine rotational speed, the output torque values of the engines at all operating intervals stored. In this way, the static model of the engine is also extracted. By using the static model, results of speed control system simulation indicate the successful performance of this model. Speed control and distance tracking are performed as desired and the values of the throttle angle vary in a limited band. In the case of using the dynamic model of the engine, distance tracking goes out of the desired state, the throttle angle and resulting force/torque variations will be very high and unacceptable. As a result, control systems that are designed on the basis of the static model are not suitable for real use on the cars, and their algorithm needs to respond appropriately to the dynamic model of the engine.