Curvilinear motion physics investigates the motion of objects following curved paths, involving changes in displacement, velocity, and acceleration. It introduces concepts like curvature and tangential quantities, including centripetal and normal acceleration. Forces such as centripetal force and tangential force play crucial roles, with applications extending to uniform circular motion, projectile motion, banked curves, roller coaster design, centrifuges, pendulums, and celestial satellite movement. Understanding curvilinear motion is essential in fields ranging from engineering and automotive safety to space exploration and timekeeping.