 The dynamics of an impurity traveling through a harmonically confined Bose-Einstein condensate in one dimension is studded, revealing that at strong repulsions the impurity moves towards an edge of the bisonic medium and subsequently equilibrates. An effective potential picture is constructed to elucidate the understanding of the dynamics, and it is found that the emergent quasiparticle has a larger effective mass than the bare one, especially for strong attractions. Energy transfer from the impurity to the bisonic medium takes place in all cases, and single-particle density distributions, and two-body interspecies correlations, can be probed by averaging over a sample of simulated in situ single-shot images. This article was authored by S.I. Mistakides, F. Grust, G.M. Kutentakis, and others.