* Galileo Galilei (1564-1642): He is often credited with the first accurate observations and experiments on gravity. He famously dropped objects from the Leaning Tower of Pisa and rolled balls down inclined planes to study their motion. While his conclusions about gravity were not completely accurate, they laid the groundwork for future discoveries.
* Isaac Newton (1643-1727): Newton's Law of Universal Gravitation, which described the force of attraction between any two objects with mass, provided a mathematical framework for understanding gravity. His work showed that the acceleration due to gravity is proportional to the mass of the attracting body and inversely proportional to the square of the distance between the two objects.
* Later Scientists: Subsequent scientists, through more precise experiments and measurements, refined our understanding of gravity. For instance, the Cavendish experiment (1798) accurately determined the gravitational constant, further solidifying the relationship between mass and acceleration due to gravity.
In summary: It wasn't a single person who proved the constant acceleration due to gravity. It was a progression of scientific observations, experiments, and theoretical frameworks that ultimately led to our understanding of the near-constant acceleration due to gravity near the Earth's surface.