Distances of the kicked objects in the simulation of P. Disberg et al. (2025) for 40 Myr  <  t  < 1 Gyr (evaluated with time steps of 1 Myr). The left panel shows, for each simulation containing 10³ objects with a kick magnitude v_kick, the distribution of distances to the Sun (r) in a 2D histogram with distance bins of 0.5 kpc and velocity bins of 10 km s⁻¹. The rows are normalized so that the distribution corresponds to P(r∣v_kick). The dotted line shows the median kick velocity in each distance bin. The right panel shows kick distributions integrated over certain distance ranges (colors) through Equation (1) for a uniform kick distribution between 0 and 1000 km s⁻¹, along with that uniform distribution itself (dotted line), which is the kick distribution observed at t = 0 for any distance. We note that (1) the simulation considers kick velocities up to 1000 km s⁻¹, even though the figure shows kicks up to 600 km s⁻¹, and (2) v_kick equals the natal kick for single objects but the systemic kick for binaries.