SOLUTION: if an object falls from rest in a vacuum near sea level, then, approximately the distance fallen in the 1st second is 16 feet, and in each succeeding second the object falls 32 fee

Algebra ->  Sequences-and-series -> SOLUTION: if an object falls from rest in a vacuum near sea level, then, approximately the distance fallen in the 1st second is 16 feet, and in each succeeding second the object falls 32 fee      Log On


   

Question 1165091: if an object falls from rest in a vacuum near sea level, then, approximately the distance fallen in the 1st second is 16 feet, and in each succeeding second the object falls 32 feet father than in the preceding second. How far does the object fall in 20 seconds?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

You can use the formula from Physics


    H = %28g%2At%5E2%29%2F2,


where g = 32 ft/s^2 is the gravity acceleration near the Earth surface.


Alternatively, you may sum first 20 terms of the arithmetic progression with the first term of 16 feet and the common difference of 32 feet.


You will get the same result.

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For the issue on how these two approaches are connected,  see the lessons
    - Free fall and arithmetic progressions
    - Uniformly accelerated motions and arithmetic progressions
    - Increments of a quadratic function form an arithmetic progression
in this site.