Ballistic projectiles are termed so because a portion of their trajectory is ballistic (in the sense of classical mechanics). Missiles, which use rocket motors in the initial boost phase are, technically, not purely ballistic. A hand-thrown rock is ballistic once it leaves your grip. A missile is not ballistic until it reaches the end of powered flight (and ceases to then be ballistic if it has the means, ignoring basic fluid drag, to accelerate and exercises such, eg hypersonic glide vehicle/lifting body-type surfaces/additional motors/etc, as a means of pointing, navigation and guidance).
But it's not just a matter of firing off a projectile and leaving it to run to the target. The warhead/entry body has to be stabilised for delivery.