The final lesson accepts the complete deterministic active-motion ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Combine terminal speed, persistence, and bias

The ledger uses speed 4 m/s, persistence time 3 s, and biased displacement 24 m.

4 m/s3 s24 m4\ \text{m/s}\quad3\ \text{s}\quad24\ \text{m}
Accepted active-motion auditThe final audit accepts only a self-consistent ledger.1drag coefficientterminal speeddrive balancepersistenceactive spreadbias ledgeraccepted

Accept only the connected active-motion ledger

The audit accepts the book's active-motion chain because each displayed value cites the matching checked source.

12 N4 m/s24 m2/s12\ \text{N}\quad4\ \text{m/s}\quad24\ \text{m}^{2}/\text{s}
Accepted active-motion auditThe final audit accepts only a self-consistent ledger.1drag coefficientterminal speeddrive balancepersistenceactive spreadbias ledgeraccepted