You stand on a spherical asteroid of uniform density whose mass is 2.51016 kg and whose radius is 11 km (11103 m). These are typical values for small asteroids, although some asteroids have been found to have much lower average density and are thought to be loose agglomerations of shattered rocks. You want to figure out how fast you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 4 m/s when it is very far away.
The question is how fast do you have to throw the rock so that it never comes back to the asteroid and ends up traveling at a speed of 4 m/s when it is very far away? (Note the launch speed is relative to you.