SOLUTION: An object is 2,722 ft high. How long will it take it falling freely, to reach the ground? Use the formula s = 16t2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: An object is 2,722 ft high. How long will it take it falling freely, to reach the ground? Use the formula s = 16t2      Log On


   

Question 1087296: An object is 2,722 ft high. How long will it take it
falling freely, to reach the ground? Use the formula s = 16t2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming there isn't any wind resistance, the answer is about 13.043197 seconds

See below on how I got that value.

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s+=+16t%5E2

2722+=+16t%5E2 Replace 's' with the given height. The goal is to solve for t

2722%2F16+=+%2816t%5E2%29%2F16 Divide both sides by 16

170.125+=+t%5E2

t%5E2+=+170.125

sqrt%28t%5E2%29+=+sqrt%28170.125%29 Apply the square root to both sides

t+=+sqrt%28170.125%29 Keep in mind that negative t values make no sense, so t+%3E=+0

t+=+13.0431974607456 Use a calculator to compute the square root

t+=+13.043197 I'm deciding to round to 6 decimal places. You can round to whatever you want depending on your teacher's preference.

Side Note: this is assuming that there is no wind or air resistance. The object would have to be in a vacuum for this solution to make sense. Of course, such a scenario is very unlikely. The teacher is opting to ignore air resistance because that topic involves much more complicated math.