Changing speed at fixed round-trip time complements the echo-time scan. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Two metres per second gives six metres

Hold round trip time at 6 s, so half-time is 3 s. Speed 2 m/s gives depth 6 m.

2(6/2)=62\cdot(6/2)=6
Echo depthA round-trip time is halved before speed turns it into depth.round tripdepth6

Four metres per second gives twelve metres

The same echo time with speed 4 m/s gives depth 12 m.

4(6/2)=124\cdot(6/2)=12
Echo depthA round-trip time is halved before speed turns it into depth.round tripdepth12

Six metres per second gives eighteen metres

Speed 6 m/s gives depth 18 m. This is still a toy one-dimensional echo ledger.

6(6/2)=186\cdot(6/2)=18
Echo depthA round-trip time is halved before speed turns it into depth.round tripdepth18