Final answer:
Ballistics is the field of physics related to the study of a bullet's path, involving concepts of projectile motion such as trajectory and the force of gravity.
Step-by-step explanation:
The science that studies the path of a discharged bullet, including its propulsion, flight, and impact, is Ballistics. This field is part of physics and is closely related to projectile motion, which examines the motion of objects that are projected into the air and subject only to acceleration due to gravity, ignoring factors like air resistance for simplicity. Projectile motion is essential in understanding the trajectory, which is the path a projectile takes through space as a function of time.