Three new models of acceleration profile (a two-term sinusoidal, a three-term sinusoidal and a polynomial model) are described. A comparative evaluation of these three models and the previously known constant and linear-decreasing acceleration models is reported. The polynomial model has been found to be the best overall for predicting acceleration distance and fuel consumption. Similar results have been found for deceleration profiles.
AKÇELIK, R. and BIGGS, D.C. (1987). Acceleration Profile Models for Vehicles in Road Traffic. Transportation Science, 21 (1), pp 36-54.