For an object falling freely from rest, show that the distance traveled during each successive second increases

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For an object falling freely from rest, show that the distance traveled during each successive second increases in the ration of successive odd integers (1, 3, 5, etc). This was first shown by Galileo. See Figs 2-18 and 2-21.
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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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