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In terms of simulation research, it is important to simulate real conditions as precisely as possible. This type of approach makes it possible to minimize the error in the obtained results. The dynamics of acceleration is one of the most important factors having a direct impact on fuel consumption and exhaust emissions from vehicles. The work was carried out with the use of PTV Vissim microscopic vehicle motion simulation software. The considerations were carried out on theoretical acceleration profiles with different dynamics values and the actual character of acceleration, recorded during road tests. The simulations were carried out for a car powered by spark-ignition and compression-ignition engines. The research showed that the calibration of the acceleration character of the vehicle in simulation tests may result in significant differences in obtained results of exhaust emissions.