Let's imagine that you decide to fly a spaceship into a black hole. We'll consider this second case first. From earth, your cautious friend would see you zooming towards the black hole. But as you got real close, they would see you and your ship go into slow motion. As you have moved into a region of very strong gravity, time has started to pass more slowly.
Time stops at the event horizon .
For as long as your friend watches, you would never quite make it into the black hole. For all the rest of time, you will be forever frozen at the edge of the black hole. That's what it looks like to someone outside. It will be a very different story. As you plunge inward, you would consider yourself normal.