SOLUTION: Find the time required for an object to fall to the ground from a building that is 1400 ft high.

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Question 113629: Find the time required for an object to fall to the ground from a building that is 1400 ft high.
Found 2 solutions by scott8148, amalm06:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let t=time ___ neglecting air resistance, t^2=1400/16

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
I solved the same problem earlier, using only energy conservation and momentum principles: https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.91991.html. Here is a more "mathematical" solution:

Consider: dy=+at+dt

Integrate both sides: int%281%2C+dy%2C0%2Cy+%29=int%28+at%2Cdt%2C0%2Ct%29

So that 426.62=%28a%29%28t%5E2%2F%282%29%29

Solve for t: t=9.33 s (Answer)