A trajectory is the path that an object follows as it moves through space. This concept is commonly used in physics to describe the motion of projectiles, such as a thrown ball or a rocket. The trajectory can be influenced by various factors, including gravity, air resistance, and the initial speed and angle of the object. In mathematics, trajectories can be represented using equations that describe the object's position over time. For example, the trajectory of a projectile can be modeled using parabolic equations, which help predict where the object will land. Understanding trajectories is essential in fields like engineering, aerospace, and sports.