The average impact force in a collision is inversely proportional to the impact distance or time. This is the reason that cars have bumpers to increase the impact distance in a collision to reduce the impact force hence its damage to people.  Can you derive or find the formula that supports the above statement?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
Section: Chapter Questions
Problem 3.4OQ: The culling tool on a lathe is given two displacements, one of magnitude 4 cm and one of magnitude 3...
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The average impact force in a collision is inversely proportional to the impact distance or time. This is the reason that cars have bumpers to increase the impact distance in a collision to reduce the impact force hence its damage to people.  Can you derive or find the formula that supports the above statement?

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