In the injection stage of a mass spectrometer, an ion with charge \(q\) and mass \(m\) is accelerated from rest through a constant electric potential difference \(\Delta V\), reaching a final speed \(v_0\). A second ion with half the charge-to-mass ratio \(q/m\) of the first ion is accelerated from rest through the same potential difference \(\Delta V\). What is the final speed of the second ion in terms of \(v_0\)?