It's definitely impossible to dig a hole through Earth and jump in. But what if it weren't? If the hole was dug somewhere other than the poles, the spinning of Earth would prevent you from getting very far down. You'd hit the side of the hole and stay there. At the poles, however, gravity would pull you down the hole with the same force for about 3,000 km.
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Key Facts In This Video
Flying in a 747 from one side of Earth to the exact opposite would take about 22 hours. 00:00
The coriolis effect explained: 00:15
The deepest hole humans have ever dug on Earth is the Kola Superdeep borehole in Russia. 02:07