You and a group of brave fellow explorers have been charting an alien world.

You and a group of brave fellow explorers have been charting an alien world. This world has a single moon which has a circular orbit a distance 3*10^8 m/s from the center of the planet and has a period of 23 hours. Your party has also found that an object falls on the gasless surface with an acceleration of 8.9 m/s^2. It's estimated that you have enough fuel in your space ship to lift off the surface in a burst of speed at 10 km/s. Is this speed great enough that you never fall back to the planet?