Yes, the law of conservation of energy applies to all situations and all types of energy transformations, whether mechanical, chemical, thermal, or others.

The total energy of a system remains the same before and after energy transformations. Energy may change from kinetic to potential, thermal, or other forms, but the total energy remains constant.

During free fall, the total mechanical energy of the object remains constant, as the decrease in potential energy is equal to the increase in kinetic energy.

The total mechanical energy of an object is the sum of its kinetic energy and potential energy.

The total energy of the object, which is the sum of its potential and kinetic energies, remains constant throughout its fall. Despite the changes in potential and kinetic energies, their sum remains constant at all points during the fall.