document.write( "Question 19230: 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? I figured 1296 = x(6)square but not able to complete. \n" ); document.write( "
Algebra.Com's Answer #9265 by Earlsdon(6294)\"\" \"About 
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Write the proportion:\r
\n" ); document.write( "\n" ); document.write( "\"d+=+kt%5E2\" d = distance, t = time. Need to find the value of k. Substitute the given values of d (1296 ft.) and t (6 seconds) and solve for k.\r
\n" ); document.write( "\n" ); document.write( "\"1296+=+k%286%29%5E2\"
\n" ); document.write( "\"1296+=+k%2836%29\" Divide both sides by 36.
\n" ); document.write( "\"k+=+36\"\r
\n" ); document.write( "\n" ); document.write( "\"d+=+36t%5E2\" Substitute d = 2304 and solve for t.
\n" ); document.write( "\"2304+=+36t%5E2\" Divide both sides by 36.
\n" ); document.write( "\"t%5E2+=+64\" Take the square root of both sides.
\n" ); document.write( "\"t+=+8\"\r
\n" ); document.write( "\n" ); document.write( "The object takes 8 seconds to fall 2304 feet.
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