What materials can absorb impact from a 3-story drop?

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Acrylic is being considered for a robot design that must withstand a 20-foot drop, but its impact absorption properties are in question. Lexan is recommended as a tougher alternative that may better suit the project's needs. The discussion suggests exploring various materials and their properties for optimal impact resistance. Users are encouraged to consult material databases like MatWeb for detailed comparisons. The goal is to ensure the robot can effectively absorb the impact from the drop.
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What are the properties of acrylic? I am building an acrylic robot that is hollow and shaped as a ball and needs to be able to absorb an impact from a 3 story building ( 20 foot drop)... It can be covered in some polymer or other material. Anyone know of any materials that can absorb the impact?
 
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