SOLUTION: If a skydiver jumps from a airplane at a height of 8,256 ft, then for the first 5 seconds, her height above the earth is approximated by the formula, h= -16t^2 + 8,256. How many s

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Question 151528: If a skydiver jumps from a airplane at a height of 8,256 ft, then for the first 5 seconds, her height above the earth is approximated by the formula, h= -16t^2 + 8,256. How many seconds does it take her to reach 8,000 ft?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the given equation:h+=+-16t%5E2%2B8256, you want to find at what time, t, will h = 8000.
8000+=+-16t%5E2%2B8256 Subtract 8000 from both sides.
-16t%5E2%2B256+=+0 Multiply through by -1.
16t%5E2-256+=+0 Notice that the binomial is the difference of squares, so you can factor this nicely...
%284t-16%29%284t%2B16%29+=+0 Now apply the zero products rule.
4t-16+=+0 or 4t%2B16+=+0
If 4t-16+=+0 then4t+=+16 and t+=+4
If 4t%2B16+=+0 then 4t+=+-16 and t+=+-4
Discard the negative answer because the time, t, should be positive.
It take 4 second for the skydiver to reach a height of 8,000 feet.