Holding speed fixed isolates persistence time as the source factor for 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

One second gives a four-metre run scale

Hold speed at 4 m/s. Persistence time 1 s gives run length 4 m.

41=44\cdot1=4
Persistence run ledgerSpeed times persistence time gives one characteristic run.speedrun

Two seconds gives eight metres

The same speed for 2 s gives run length 8 m. Only the persistence time changes.

42=84\cdot2=8
Persistence run ledgerSpeed times persistence time gives one characteristic run.speedrun

Three seconds gives twelve metres

At persistence time 3 s, run length is 12 m. The diagram is not a sampled random path.

43=124\cdot3=12
Persistence run ledgerSpeed times persistence time gives one characteristic run.speedrun