We aim to investigate several aspects of animal movement dynamics by employing tools, concepts and ideas from statistical physics. Among the problems of interest, we cite the study of the dynamics and mechanisms of efficient searches performed by various animal species. Superdiffusivity and the tradeoff involving exploration versus exploitation dynamics are some of the ingredients that we study in this field. One of the most important applications of such study concerns the research field of animal foraging. Whereas, on the one hand, Brownian search generally leads to inefficient outcomes due to a much detailed search concentrated in a small area, ballistic searches, on the other hand, do not emerge as the most efficient ones as they can take the animal faraway from regions rich in resources. A compromise solution involving superdiffusive dynamics and a suitable balance between short and long search steps might constitute the optimal foraging strategy.