document.write( "Question 288730: The distance an object falls is directly proportional to the square of the time it has been falling.  After 8 seconds it has fallen 2304 feet.  How long will it take to fall 900 feet?
\n" ); document.write( "Can you please help....
\n" ); document.write( "Patty
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Algebra.Com's Answer #209235 by texttutoring(324)\"\" \"About 
You can put this solution on YOUR website!
If D is directly proportional to the square of the time (t), then we can set up this equation:\r
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\n" ); document.write( "\n" ); document.write( "\"D=at%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Where a is the proportionality constant. To solve for a, just use the information they gave you, with D=2304 and t=8 seconds.\r
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\n" ); document.write( "\n" ); document.write( "\"2304=a%288%29%5E2\"
\n" ); document.write( "\"2304=64a\"
\n" ); document.write( "\"a=36\"\r
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\n" ); document.write( "\n" ); document.write( "Now use this constant with the distance of D=900 to find the corresponding time:\r
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\n" ); document.write( "\n" ); document.write( "\"900=36t%5E2\"
\n" ); document.write( "\"25=t%5E2\"
\n" ); document.write( "\"t=5\"\r
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\n" ); document.write( "\n" ); document.write( "The time it takes to fall 900 feet is 5 seconds.
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