Robotic Rocket

Just a small note:
I've done a competition like this, and only relying on a parachute is not very safe. Have some back up insulation around the egg, as it will get hit pretty hard. Another small thing: try and test out your ejection charge before the test, because the judges will most likely want a whole egg back, not just some black ash.

And, on a closing note, I'm gonna quote an old teacher of mine. "When in doubt, copy NASA." Go for 3 parachutes, just for added stability. However, make sure you don't use too large parachutes, or you might have the egg drift too far when coming down.