document.write( "Question 7249: The distance an object falls is directly proportional to the square of the time it has been falling. After 6 seconds it has fallen 1296 feet. how long will it take to fall 2304 feet? \n" ); document.write( "
Algebra.Com's Answer #4045 by Earlsdon(6294)\"\" \"About 
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Let d = the distance the object has fallen.
\n" ); document.write( "Let t = the time it takes for the object to fall distance, d.\r
\n" ); document.write( "\n" ); document.write( "Then, you can write:\r
\n" ); document.write( "\n" ); document.write( "\"d+=+kt%5E2\" Now you need to find the value of k. Substitute the given values of t = 6 secs. and d = 1296 ft.\r
\n" ); document.write( "\n" ); document.write( "\"1296+=+k%286%29%5E2\"
\n" ); document.write( "\"1296+=+36k\" Divide both sides by 36.
\n" ); document.write( "\"%281296%2F36%29+=+k\"
\n" ); document.write( "\"36+=+k\"\r
\n" ); document.write( "\n" ); document.write( "Now you need to find the time, t, the object takes to fall 2304 ft. Solve the distance formula for t.\r
\n" ); document.write( "\n" ); document.write( "\"t+=+sqrt%28d%2Fk%29\" Substitute d = 2304 and k = 36 and solve for t.\r
\n" ); document.write( "\n" ); document.write( "\"t+=+sqrt%282304%2F36%29\"
\n" ); document.write( "\"t+=+%2848%2F6%29\"
\n" ); document.write( "\"t+=+8+secs.\"\r
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