The world needs a new source of energy, an unspillable source.

This physics question confuses me. Can someone explain and show how to get the answer. The steps I mean..?

NASA has developed Deep-Space 1 (DS-1), a spacecraft that is scheduled to rendezvous with the asteroid named 1992 KD (which orbits the sun millions of miles from the earth). The propulsion system of DS-1 works by ejecting high-speed argon ions out the rear of the engine. The engine slowly increases the velocity of DS-1 by about 19.0 m/s per day.
(a) How much time (in days) will it take to increase the velocity of DS-1 by 11600 m/s in days?

(b) What is the acceleration of DS-1 (in m/s2)?