Final answer:
The question addresses the Physics concept of kinematics and vector components related to displacement, velocity, and efficient movement. The answer should involve vector addition and consider unit conversions, as well as the reasonability of the results.
Step-by-step explanation:
The subject of the question is Physics, specifically related to kinematics and vector components in motion. The question seems to fit within the High School grade level as it deals with concepts typically covered in a high school physics curriculum.
To address the student's question about the bird's path, we would use the principles of physics to determine the most energy-efficient trajectory. However, the provided equation does not directly relate to the examples provided, which focus on displacement, velocity, and distance. In example (11), the bird's total displacement after flying from one branch to another is obtained by calculating the product of average velocity and time for each part of the trip and summing these displacements. The problem is solved by recognizing that displacement is a vector quantity and must be combined using vector addition.
Similarly, in example (21), we would analyze the cyclist's path by breaking down the motions into straight-line components and again using vector addition to find the final displacement. The problem's solution necessitates understanding of displacement in two dimensions and the ability to work with vectors.
When finding the displacement and energy expenditure of these movements, one must remember to convert units where necessary, check if the answer seems reasonable, and consider external factors like wind in certain scenarios.