Does the Moon always rise and set in the same place?
Similarly, does the moon rise in the same place every night?
Because of this motion, celestial bodies such as the Sun, Moon and stars appear to rise in the eastern sky and set in the western sky. The Moon also doesn't rise at the same time each night. Due to the speed of Earth's rotation and the Moon's orbit, the Moon rises about 50 minutes later each day.
Furthermore, does the sun and moon rise in the same place?
Answer: The Sun, the Moon, the planets, and the stars all rise in the east and set in the west. And that's because Earth spins -- toward the east.
Moonrise happens when the Earth has rotated enough on its own axis that the Moon has appeared in your personal sky - your horizon has caught up with the Moon. When exactly that happens is a combination of the Earth's rapid rotation, and the Moon's continual motion through the skies.