trajectories

Trajectories refer to the paths or courses that objects, particles, or systems follow through space and time. In physics, trajectories are often used to describe the motion of objects in three-dimensional space, such as the path of a projectile or the orbit of a planet around a star. Trajectories can also be used to model the behavior of systems over time, such as the evolution of a population or the growth of a business. In mathematics, trajectories can be represented as curves in space or phase space, which allow for the analysis and prediction of future behavior.