Final answer:
In the given scenario, the person's velocity will be increasing before their first pass through the center of the Earth, while their acceleration will be decreasing.
Therefore, the correct answer is: option "has been decreasing".
Step-by-step explanation:
In a situation where a person is falling through a tunnel that goes through the center of the Earth with no air resistance or other forces, the person's velocity will be increasing before their first pass through the center of the Earth, while their acceleration will be decreasing.
This is because the acceleration due to gravity remains constant throughout the entire fall, but as the person gets closer to the center of the Earth, the distance they have to fall decreases, resulting in a smaller acceleration.
Meanwhile, the person's velocity continues to increase because their acceleration is still negative, but with a smaller magnitude.