Let's assume that we take an initial «snapshot» of a vehicle during its run. We record the time t_i, the vehicle is going at a speed v_i and has already traveled a distance d_i.

When the vehicle reaches the speed v_f , we take a final «snapshot» and we want to know what will be the new time t_f and the new distance d_f.

We already know three things about the vehicle during this portion of the run:

• the speed increase, Δv = v_f − v_i ;
• the average speed, v_avg = 0.5( v_i + v_f );
• the average acceleration, a_avg, calculated with equation (1b) from the accelerating page and v_avg.

Then, by definition:

With the ACCELERATION SIMULATOR, this site uses a speed increase Δv which equals one thousandth of the known top speed of the vehicle. For example, if the top speed is 300 km/h, the calculations are done every time the speed increases 0.3 km/h.