An infinitely long, straight wire carries a uniform positive line charge density \(\lambda\). A small particle with mass \(m\) and negative charge \(-q\) (where \(q > 0\)) is initially located at a distance \(r_0\) from the wire. The particle is projected radially away from the wire with an initial speed \(v_0\). What is the minimum initial speed \(v_0\) required for the particle to reach a distance of \(5r_0\) from the wire?