Two-dimensional motion involves movement that can be represented on a graph using x and y coordinates, indicating simultaneous changes in both horizontal and vertical positions. Projectile motion is a key example, as it follows a parabolic path, altering both coordinates concurrently. The discussion also highlights a specific example involving a hummingbird's movement, illustrating that its path consists of a horizontal and a vertical segment, rather than a parabolic trajectory. To determine the total displacement, one can visualize the path as forming a triangle between the starting and ending points. Understanding these concepts clarifies the nature of two-dimensional motion in various contexts.