Final answer:
To prove acceleration is independent of object's velocity, the student must collect the time to hit the ground for all balls, the horizontal distance for Ball A, and the vertical speed of Ball C upon impact.
Step-by-step explanation:
In order to design an experiment to show that the acceleration of an object is independent of the object's velocity, the student needs to collect specific information about three balls that are launched differently. Ball A is launched horizontally, Ball B is dropped from rest, and Ball C is launched vertically, all from the same elevation.
The information the student would need to collect includes:
- The time it takes for each ball to reach the ground.
- The horizontal distance traveled by Ball A before hitting the ground.
- The vertical speed of Ball C when it reaches the ground.
By analyzing the time of flight and the distance or speed where applicable, the student can infer the acceleration due to gravity and thus test the hypothesis. It is expected that all balls will experience the same acceleration, illustrating that acceleration due to gravity is constant and independent of the initial velocity of the balls.