A Strange Physics Question?

You and the ball are both masses, and between masses there is always a gravitational pull.

You and the ball will decelerate, and depending on how fast the ball is thrown, you will come together again accelerating, or you will part forever.

There is a speed, called escape velocity (see: http://en.wikipedia.org/wiki/Escape_velocity ), and whatever is slower than this mass-depending speed, will return. Whatever is faster, shall escape to infinity.

Whoever is faster cannot be determined because there is nothing to refer to. If there were an absolute reference point, you would notice that the ball moves faster, but there is no reference point, so you cannot measure any speed difference, only the relative speed.

After the initial period of acceleration (you throwing the ball), the ball and you would move at roughly constant speed. Since you and the ball are so small, the force of gravity would be negligible. You would essentially move forever and ever... Eventually, you would probably return to the ball (or vice versa depending on how you look at it), but we're talking millions of years.

you and the ball would travel in opposite directions forever (unless you go with the theory that the universe is curved, in which case it would hit you in the back of the head in a zillion years), because there is no friction, you would not slow down enough for gravity to pull you back together, and since gravity obeys the inverse square law, the farther apart you got, the less gravity would pull on you

the ball DOES move faster

The speed of the ball would be much higher than the escape velocity from your body. This means that you and the ball will keep flying away from each other forever.

Taking the point in space from which you threw the ball as the point of reference, the ball will be moving away much faster than you. This is due to the difference in masses and the moment of inertia.

Well the ball would travel faster than you (depending on what seed you threw it at). You would be drawn together again in a few billion billion years if you was panet size.

If so it's not obvious, and it would be more an analogy than a link. Sometimes x-ray diffraction patters are mapped to a sphere (and an infinite plane as well). MAYBE this so-called link is this pattern, where the chocolate chips represent the dot pattern on the sphere. That's the only thing I can think of.

well you would move away from each other forever but not at a constant speed, the gravitational force between you and the ball will slow you down a very very little bit when you first throw it but then it will be so small it wont matter

You would both travel away from each other, you slower because your bigger than the ball presuming it's a tennis ball. I guess eventually, if you were the only two things, you would make your way back to each other.

if its only you and the ball, then there are no external force whatsoever, so according to newtons law of gravitation, you will attract the ball and hence the ball would move towards you due to the mass difference.

the ball will travel at const vel v..u will recoil at const vel=-V

v=M*V/m in mag..ur rel vel is v'=V(M/m+1)

if m*v'^2/2>=G*M*m/r u and the ball will trvl off to infinity in opp dirs..i think..ie v'=rt(2*G*M/r)*m/(M+m)

complic8ing factor expansion of space time being non linear/non commutative/or even non isotropic..means eff journey forward dist<subsq journey back dist