Distance Over Time - Physics for Biophysics Step by Step

At fixed training speed, the band distance grows with elapsed time. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One time step gives the first distance

At time 1 seconds, the distance is 2 meters.

t=1\ \text{s}\Rightarrow x=2\ \text{m}

A shorter run gives a shorter distance

At time 3 seconds, the distance is 6 meters.

t=3\ \text{s}\Rightarrow x=6\ \text{m}

Doubling the time doubles the distance

At time 6 seconds, the same speed index gives distance 12 meters.

t=6\ \text{s}\Rightarrow x=12\ \text{m}

Distance grows row by row with time

The speed index is fixed. Multiplying by more elapsed time gives larger checked distances.

\begin{array}{c|c}t&x\\1&2\\3&6\\6&12\end{array}