Final answer:
Both bowling balls of different masses dropped from the same height will fall with the same acceleration, which is approximately 9.81 m/s^2 on Earth. This demonstrates that gravitational acceleration is constant regardless of mass.
Step-by-step explanation:
Regarding the acceleration of two bowling balls of different masses falling from the same height, the correct answer is A) They both fall with the same acceleration. According to the laws of physics, specifically Newton's second law of motion and the theory of gravitational acceleration, the acceleration due to gravity is the same for all objects, regardless of their masses, when air resistance is negligible. Therefore, if you drop two bowling balls from the same height, they will accelerate at the same rate - on Earth, this rate is approximately 9.81 m/s2.
For the experiment involving the different balls - one launched horizontally, one dropped, and one launched vertically - the student would need to record the time it takes for each ball to hit the ground to determine if the acceleration due to gravity is indeed independent of the object's velocity.