Earth's slowing rotation and moons drift

I have been wondering about this question for a long time. I know that when the Earth formed a day on Earth was about six hours long and the moon was a mere 40,000 miles away from Earth, but what I want to know is how far does the moon move away from...

the Earth every year and by how much does the Earth's rotation slow down by every year? Are these values constant or is their a pattern? What I mean is if the moon let's say moves an inch a year away from the Earth will it continue to move an inch way for the next 50 billion years (Even though the Earth and the Sun won't be here, but lets just do this theoretically speaking). Or could the moon move away from the Earth 1 inch this year and 0.5 or two inches the next year etc.? I want to know if the Earth's slowing rotation and the moons drift away from the Earth have been occuring at a constant rate for the last 4.53 billion years or if it is now occuring faster or slower than before, and if this rate will speed up or slow down in the future. Does anyone know a formula for this? Also I know that the moon will be out of the Earth's gravity in approximately 50 billion years. At that time one day will be approximately equal to 48 of our current days so a person who is celebrating their first birthday will be 48 years old according to our current time. Anyways my question was how far (miles or lightseconds) will the moon be from the Earth in 50 billion years? Please give suggestions. Thank You.

google is my best friend, wait I have a life just kidding

I've heard that the moon moves something like a quarter of an inch away from the earth each year if I remember right and it will eventually move out of earths gravitational pull

yeah , hooch is right.

The Earth's rotation slowing and the Moon accelerating are both caused by gravity's tidal forces.

The inverse square laws states that the force of gravity will change inverely with the square of the distance between bodies. When the moon is twice as far away its gravity will be one quarter what it is now. When it is ten times as far it's pull will only be a hundredth. This is why the rate that our rotation slows and the moon accelerates will decrease as the two bodies become farther apart.

Current estimates are that the moon drifts 4 cm farther away and the length of the day increases .005 seconds every year. So if you live to be 100 your last day on Earth will be about half a second longer than your first.

When I was a lad scientists believed that tidal forces on Mercury syncronized its rotation to its year so the same side always faces the Sun like tidal forces have caused the same side of the Moon to always face the Earth. Now we know this is not the case though Mercury's solar day is about twice as long as its year.

In 50 billion years, the distance of the Moon from the Earth and the length of a single Earth day will be irrelevant as the Sun will have long exhausted its fuel.