An egg can fall from a height without breaking by either decreasing its momentum upon impact or increasing the time over which it lands. Effective methods include using cushioning materials like bubble wrap, foam, or soft insulation to absorb the shock. For example, one group successfully wrapped their eggs in bubble wrap and placed them in foam and cardboard for protection. Parachutes can slow descent but may cause erratic landings, making it difficult to target a specific area. Overall, the key is to create a soft landing environment to minimize the risk of breakage.