In this paper, we measured e for two different superhydrophobic surfaces over a wide range of impact speeds U I = 4-400 cm s -1 not just for millimetric-sized droplets (as was done in previous work) but also for much smaller droplets (radius as small as 20 µm). The latter is interesting because sub-millimetric droplets are formed during condensation (with implications for thermal heat transfer ) and human respiratory activities (with implications for disease spread ). We have also carefully measured ∆ cos θ for the two superhydrophobic surfaces with a cantilever-based method as described in our previous work. We propose simple physical models to explain the observed nonmonotonic dependence of e on U I for both millimetric and sub-millimetric droplets. We derive an expression for e in the limit of low U I in terms of the surface wetting properties, in particular to θ and ∆ cos θ, with no fitting parameters. In contrast, e is dominated by inertialcapillary effects and does not depend on ∆ cos θ in the limit of high U I .