Answer:
How about use a plastic cup drill holes on both sides use a string put through the holes tie the ends to a plastic bag and, voila, a parachute for the egg.
More Information:
The parachute must be big enough and of appropriate material to slow the fall of the egg and the parachute. Also, a nice soft field might be a better landing zone than a paved parking lot. Some trial and error experimentation will probably be necessary to get the right chute area to weight ratio. Don't start with the egg.