To solve physics problems involving a building and a runner, it's essential to start by clearly defining the question, identifying knowns and unknowns, and selecting an appropriate method for solving the problem, such as energy or kinematics. Drawing a detailed elevation view of the scenario aids in visualizing the problem and ensuring accuracy. The discussion emphasizes the importance of manipulating equations and verifying units to ensure the solution is reasonable. Participants agree on the necessity of graphical representation to support calculations. Ultimately, the goal is to calculate the speed of the ball and subsequently determine the time and speed of the runner.