Think about how paper airplane works. It has aerodynamic qualities so we give it a "Lift to Drag" ratio or "L/D" for short.Maybe this is too simple a question but if the bullet
had "aerodynamic lift", wouldn't it have to have a power
source to keep it going as fast as when it left the barrel?
I can take a piece of paper and wad it in a ball and shoot it out of a slingshot in level trajectory and technically it would suffer the same fate as the bullet: It would hit the ground at the same time as if you had merely dropped it.
Now take another piece of paper and fold it into a really nice airplane and shoot it out of a slingshot and as it is moving forward it's "drag" through the air gives it "lift" (if built properly) and will stay aloft for a really long time. If it was built really nice it would likely even gain a lot of altitude until it's drag drops it's foward speed to the point where it levels off and then slowly glides it's way down. It's "power" is in it's kinetic energy (1/2Mass * Velocity^2) and as it bleeds off its forward velocity it looses it's energy.
Both sheets of paper weigh the same but the paper airplane is so much more fun to play with!