To model human concepts of motions is essential for the development of the systems and machines that collaborate with ordinary people on spatiodynamic tasks. This paper applies two projection-based spatial models, Double Cross and RfDL3-12, to the modeling of human concepts of motions on a plane, making use of the ability of these two models to illustrate where and how a landmark extends around/on a path. For generalization, we adopt a set of formal motion concepts defined in an existing spatial ontology called GUM. These motion concepts are associated with the motion patterns modeled by Double Cross and RfDL3-12, considering two scenarios where the landmarks are represented by points and regions, respectively. For the latter scenario, we identify the motion patterns whose characterization cannot be clearly determined. In addition, we find that the knowledge of landmarks' convexity is useful for characterizing motion patterns. Keywords. motion concepts, route descriptions, project...