Planets are big.

An asteroid has a radius of 580 km and a gravitational acceleration at the surface of 4.0 m/s2.

How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1000 m/s?  (It never escapes orbit)

omg Energie=GmM/r=(1/2) m*v^2 Solve for r. And please, ask newb questions like this anywhere but here... This is for REAL science (also you don't need acceleration of gravity)