Egg drop experiment design project

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The egg drop experiment requires students to design a container to protect an egg from a 20-foot drop within a 30-minute time limit. The challenge lies in providing a variety of materials that encourage creativity without making the task too easy. Suggestions for materials include cotton, foam, wire, rubber bands, bubble wrap, plastic bags, and thread, allowing for diverse construction methods. The goal is to stimulate problem-solving and innovation while ensuring students engage with the project. Offering a wide range of materials will enhance the learning experience and prevent predictable outcomes.
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I have to design an egg drop experiment for a teaching project. I'll describe the project and how everything works, then the students have about half an hour to create a container to shelter the egg so that it doesn't break from a fall of about 20 feet. The sticking point is the time limit. I obviously want them to build contraptions that will work, but I don't know what materials to give them for them to build it in that short of a time without making it TOO easy (like giving them a box and cotton balls; they'd know exactly what to do with it, and wouldn't have to work for it at all). Any ideas?
 
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I had a teacher that did the same project exept he asked us to use our own materials from home. I had a friend who used chopsticks, it failed horribly.
 
I know someone who used put the egg in a plastic peanut butter case, and the peanut butter protected the egg.
 
If you offer only two materials, they will surely know what to do ...the only thing to do...offer them a bunch of things!

cotton
foam
carton box
wire (exo-skeleton)
rubber bands (exo-skeleton suspension system)
bubble wrap
plastic bag (parachute idea)
thread or thin rope (parachute idea)

etc, etc
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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