Final answer:
To test the hypothesis about the independence of an object's acceleration and velocity, the student would need to collect information about the initial speed and launch/drop height of each ball.
Step-by-step explanation:
To test the hypothesis that the acceleration of an object is independent of the object's velocity, the student would need to collect information about each ball's initial speed and the height from which it was launched or dropped.
For ball A, the horizontal velocity would need to be measured. For ball B, the time it takes to fall from rest would need to be recorded. And for ball C, both the initial vertical velocity and the time it takes to reach the ground would need to be recorded.