A finite pulse length limits axial claims. 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 cycles occupy two wavelengths

A 2 cycle pulse with wavelength 4 meters occupies 8 meters.

24 m=8 m2\cdot 4\ \text{m}=8\ \text{m}
Spatial pulse lengthPulse length is cycles times wavelength.pulseseparationspeed 12 m/sfrequency 3 Hzlambda 4 mpulse 8 mlimit 4 mresolved

Axial resolution is half the pulse length in this model

Half of pulse length 8 meters gives a resolution limit of 4 meters.

Δdmin=82=4 m\Delta d_{\min}=\frac{8}{2}=4\ \text{m}
Resolution limitThe limit label is checked from pulse length.pulseseparationspeed 12 m/sfrequency 3 Hzlambda 4 mpulse 8 mlimit 4 mresolved