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Qmechanic
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Tilting due to Earth's rotation at a distance

I just stumbled upon a video on spacetime and a weird fact caught my attention.

In the video, it explained that a free falling body dropped onto the Earth would change its orientation and would be displaced very little due to the rotation of the Earth.

Why would this happen? It may be different in Einstein's gravitational relativity theory however in classical physics shouldn't it simply fall (without any atmosphere)?

Clip of the video :https://youtube.com/clip/UgkxQN4DFgqDB6dsb4vPT2Ireqh9J7rW4gzP?si=7XlLZEiVljm6ObQe