Ballistic Trajectories

This lecture covers the analysis of ballistic trajectories, including the distinction of three cases based on the discriminant of the second-degree equation, the determination of possible cannon shot trajectories, and the impact of different launch angles on projectile range. Experimental demonstrations with ballistic devices are used to illustrate the concepts of maximum range and complementary launch angles. The lecture also explores the trajectory equations, horizontal distance, maximum height, flight time, and the impact point coordinates. Additionally, the concept of a safety parabola for water droplets on an inclined surface is discussed, along with the motion of a pendulum and a puck on an air table.