  We analyse classical string configurations with non-trivial transverse
dynamics in $AdS_5$-Schwarzschild. These strings develop kink-like structures
which, via the gauge/gravity duality, can be interpreted as the propagation of
hard gluons produced in association with a quark-antiquark pair in a strongly
coupled $\mathcal{N}=4$ SYM plasma. We observe the appearance of two physically
distinct regimes of the in-plasma dynamics, depending on whether the medium is
able to resolve the transverse structure of the string prior to its total
quench. From these studies we extract the medium resolution scale of the
strongly coupled SYM plasma, defined as the smallest angular separation between
two jets that the medium can resolve, $\theta_{\rm res} = \mathcal{C}_{\rm res}
( E /\sqrt{\lambda} T)^{-2/3}$, where $\mathcal{C}_{\rm res}=
\frac{2^{4/3}}{\pi}\frac{\Gamma(3/4)^2}{\Gamma(5/4)^2}$. Our analysis
constitutes the first study of proxies for three-jet events in a holographic
context.
