A run length is the straight-line distance a cell covers at terminal speed before reorienting, so it is speed times persistence time. With speed 4 m/s persisting for 3 s, the run length is 4 times 3 = 12 m exactly for the stated toy motion ledger; real active matter has fluctuating propulsion, changing orientation, boundary effects, fluid environment variation, and sampling noise.

A persistence time converts speed into one deterministic run length. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Use speed and persistence time

Speed 4 m/s persists for 3 s.

4 m/s3 s4\ \text{m/s}\quad3\ \text{s}
Persistence run ledgerSpeed times persistence time gives one characteristic run.speedrun

Speed times time gives run length

The run length is 12 m.

4⋅3=12 m4\cdot3=12\ \text{m}
Persistence run ledgerSpeed times persistence time gives one characteristic run.speedrun