Final answer:
Yes, the Earth does accelerate towards the skydiver due to gravitational pull, but because of its huge mass, the Earth's acceleration is minuscule and unnoticeable. This is consistent with Newton's second and third laws of motion.
Step-by-step explanation:
When a skydiver falls towards Earth, both the skydiver and Earth are subject to the forces of mutual gravitational pull. It is true that Earth is also accelerating towards the skydiver. However, due to Earth's enormous mass, it accelerates by an almost imperceptible amount compared to the skydiver. This concept is a result of Newton's third law of motion, which states that for every action there is an equal and opposite reaction. So, while the skydiver accelerates significantly towards Earth, the Earth's acceleration towards the skydiver is negligible and not noticeable.
Recall that according to Newton's second law, forces cause acceleration, and by Newton's universal law of gravitation, the force of gravity causing acceleration is inversely proportional to the squared distance from the center of Earth. On Earth's surface, objects typically accelerate downwards at 9.8 meters per second squared (9.8 m/s²), but the acceleration of Earth towards the object is far too small to measure due to the disparity in mass.