  Inertial sensors relying on atom interferometry offer a breakthrough advance
in a variety of applications, such as inertial navigation, gravimetry or
ground- and space-based tests of fundamental physics. These instruments require
a quiet environment to reach their performance and using them outside the
laboratory remains a challenge. Here we report the first operation of an
airborne matter-wave accelerometer set up aboard a 0g plane and operating
during the standard gravity (1g) and microgravity (0g) phases of the flight. At
1g, the sensor can detect inertial effects more than 300 times weaker than the
typical acceleration fluctuations of the aircraft. We describe the improvement
of the interferometer sensitivity in 0g, which reaches 2 x 10-4 ms-2 / \surdHz
with our current setup. We finally discuss the extension of our method to
airborne and spaceborne tests of the Universality of free fall with matter
waves.
