SOLUTION: Can someone please walk me through this? If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second

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Question 330205: Can someone please walk me through this?
If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 8 seconds?
____ft
Thank you!
Edgar

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


An object in free-fall near the Earth's surface, presuming that you discount the effects of friction with the atmosphere, has a vertical displacement in feet as a function of time in seconds given by:



All you have to do is evaluate . Note that this is NOT the same thing as how far the object fell during the 8th second. That value would be calculated by . was the methodology to calculate the sequence of values you gave.

John

My calculator said it, I believe it, that settles it