Understanding the behavior of objects falling through a material, such as a mat, is a fascinating subject that intertwines physics, material science, and engineering. At first glance, one might assume that an object simply drops and either penetrates or comes to rest on the surface of the mat. However, the reality involves a complex interplay of forces, material properties, and physical laws that govern motion and energy transfer. When an object falls, it is subject to gravitational force, which accelerates it toward the Earth. The mat, on the other hand, exerts an opposing force that can either slow down the object’s descent or prevent it from penetrating the surface, depending…