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)

>>4
Maybe it means speed along some axis radiating from the center of the asteroid.

But that doesn't make much sense either, since the asteroid is likely not very close to spherical.