Final answer:
Ignoring air resistance, both a bowling ball and a gold ball dropped from the same height accelerate toward the ground at the same rate due to the constant acceleration of gravity.
Step-by-step explanation:
In the absence of air resistance, both a bowling ball and a golf ball, when dropped simultaneously from the same height in a vacuum, will undergo identical gravitational acceleration. This fundamental principle, encapsulated in Galileo's discovery, asserts that irrespective of mass, all objects experience a constant acceleration due to gravity, approximately 9.81 m/s², or commonly rounded to 10 m/s² for simplicity.
Thus, the trajectories of the bowling ball and the golf ball would mirror each other, hurtling towards the ground with indistinguishable acceleration rates. The force of gravity acts uniformly on both objects, eliminating any discernible influence of mass on their descent.
Consequently, they would reach the ground simultaneously, showcasing the universality of gravitational acceleration and affirming the elegance of this fundamental principle in the realm of physics.