The Chinese tried to get around this problem with devices that are detailed in the awesomely named Fire Dragon Manual. The Flying Crows were dummy birds constructed with bamboo frames and paper skin, and each one contained an explosive warhead. They were launched into the air via a rocket with a range of more than 1,000 feet. When one crashed into its target, be it a ship or some building in a besieged city, the warhead detonated. While this is a terrific idea, we have to question why the bird disguise is even necessary.
Hopefully it was a little less conspicuous than this picture would have us believe.
The resulting explosion could apparently be seen from miles away. A smaller version, called the free-flying enemy-pounding-thunder-crash bomb (awesome) had internal timers and when launched would explode at a predetermined height, raining down spikes dipped in "tiger-poison."
Made from real tigers.
Forgotten Until ...
This type of winged bomb wouldn't become popular in the Western world until the early 1900s -- nearly 600 years later. And it will probably be another hundred years before they achieve the pure aesthetic awesomeness of the Chinese papier-mache rocket birds.