document.write( "Question 118224: The distance an object falls is directly proportional to the square of the time has been falling. After 6 seconds it has fallen 1296 feet. How long will it take to fall 2304 feet?
\n" ); document.write( "in one second it falls 216 feet, I took 1296/6 which equals 216, but then I sort of got lost.
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Algebra.Com's Answer #86330 by Earlsdon(6294) $\"\"$ $\"About$

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You could use proportions to answer this question:
\n" ); document.write( " $\"d+=+kt%5E2\"$ \"The distance, d, an object falls is directly proportional the square of the time, t, it has been falling\"
\n" ); document.write( "You are first given that it takes 6 seconds (t = 6) to fall 1296 feet (d = 1296). Substitute these values for t and d into the equation above to find the value of k, the proportionality constant.
\n" ); document.write( " $\"1296+=+%286%5E2%29k\"$
\n" ); document.write( " $\"1296+=+36k\"$ Divide both sides by 36.
\n" ); document.write( " $\"k+=+36\"$
\n" ); document.write( "So now the equation is: $\"d+=+36t%5E2\"$
\n" ); document.write( "Now you can answer the given question of finding t when d = 2304 feet.
\n" ); document.write( " $\"2304+=+36t%5E2\"$ Divide both sides by 36.
\n" ); document.write( " $\"64+=+t%5E2\"$ Take the square root of both sides.
\n" ); document.write( " $\"t+=+8\"$ seconds. \n" ); document.write( "

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