Since the moon is in a circular orbit, a kick from the far side of the moon would push it toward Earth, but it's current orbit would turn that into a parabolic or hyperbolic path resulting in a 'close pass' and a gravitational slingshot, helping throw the moon clear of Earth's influence. The actual trajectory would depend on the force of the explosion. It would probably have to be far larger than the one depicted in the show. FAR larger. In fact, it would be interesting to see if a bang large enough to do that (as in an explosion, not an accelerating force applied over time) wouldn't just fracture the moon and break it completely apart, rather than throwing it clear, but leaving it intact.