To determine how long it will take Rock 2 to fall, we can use the following information:
- Both rocks are falling from the same height (78.4 m).
- The time taken for Rock 1 to fall (2.5 kg) under the influence of gravity is 4.0 seconds.
According to the principles of physics, the time it takes for an object to fall from a certain height under the influence of gravity is independent of its mass. Therefore, since both rocks are falling through the same height in a vacuum, Rock 2 (25 kg) will also take the same time to fall as Rock 1.
Given that Rock 1 takes 4.0 seconds to fall, Rock 2 will also take 4.0 seconds to fall.
So the correct response is:
4.0 seconds.