To calculate the height from which an object falls, one can use the equation x = 1/2 * g * t², where g is the acceleration due to gravity (9.8 m/s²) and t is the time of fall. In this scenario, the object takes 0.210 seconds to fall past a window that is 1.35 meters tall. By determining the average speed and using the kinematic equations, the initial velocity and the height can be calculated. The discussion emphasizes the importance of understanding the equations and their components rather than simply applying them. A solid grasp of basic physics concepts and equations is essential for solving such problems effectively.