Peter explained that David wrote that the Messiah would become alive again.

Acts 2:29-31

29 Peter continued, “My fellow Jews, I can tell you confidently that our royal ancestor, King David, died, and that his body was buried {that people buried his body}. And the place where they buried his body is still here today. 30 So we(inc) know that David was not speaking those words about himself. But because he was a prophet, he spoke about the Messiah. David knew that God had strongly promised him that he would cause one of his descendants to become king [MTY] like David was king. (OR, to be the Messiah who would rule God’s people like David had ruled them.) 31 David knew beforehand what God would do, so he was able to say that God would cause the Messiah to live again after he died. He said that God would not let the Messiah remain in the place of the dead, nor let his body decay.”