Careful measurements have been made of Olympic sprinters in the 100-meter dash.

Careful measurements have been made of Olympic sprinters in the 100-meter dash. A quite realistic model is that the sprinter's velocity is given by v=a(1-e^(-bt))where is in , is in , and the constants and are characteristic of the sprinter. Sprinter Carl Lewis's run at the 1987 World Championships is modeled with = 11.81 and = 0.6887.