1. Two people are standing at the edge of a high cliff. One person throws a rock horizontally off the cliff. Which uncontrolled part of this investigation can prevent the rocks from hitting the ground at the same time?

Answer: C

Explanation:

Air resistance can prevent the rocks from hitting the ground at the same time.

Air resistance affects the falling speed of objects and can cause two rocks thrown horizontally to land at different times, depending on their shapes and surface areas.

A) gravity

Gravity acts equally on all objects, regardless of their mass or shape, pulling them downwards at the same acceleration. Therefore, gravity cannot be an uncontrolled factor that would cause the rocks to hit the ground at different times since both rocks experience the same gravitational force.

B) mass of the rocks

While the mass of the rocks could influence their inertia, it does not affect the time it takes for them to fall under the influence of gravity alone, assuming they are thrown from the same height. Thus, mass is not a factor that would prevent the rocks from hitting the ground simultaneously.

C) air resistance

Air resistance can significantly affect the motion of objects as they fall. If the two rocks differ in shape or surface area, air resistance will act differently on each, potentially causing them to descend at different rates and hit the ground at different times.

D) strength of the person

The strength of the person throwing the rocks does not influence the rocks' fall once they have been released. It may affect how far the rocks are thrown horizontally, but it does not impact the time it takes for them to reach the ground due to gravity.

Conclusion

The correct answer is air resistance, as it introduces variability in how different rocks fall, depending on their shapes and surface characteristics. All other options, such as gravity, mass, and the strength of the person, do not create differences in the falling time of the rocks in this scenario. Understanding air resistance is critical in analyzing motion in free fall.