document.write( "Question 128639: 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 #94122 by Earlsdon(6294)\"\" \"About 
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First write the equation of variation:
\n" ); document.write( "\"d+=+kt%5E2\" k is the constant of variation, d is the distance, and t is the time the object has been falling.
\n" ); document.write( "To find the value of k, substitute the given values of t = 6 secs. and d = 1296 ft.
\n" ); document.write( "\"1296+=+k%286%29%5E2\"
\n" ); document.write( "\"1296+=+36k\" Divide both sides by 36.
\n" ); document.write( "\"k+=+36\" Now write the equation as:
\n" ); document.write( "\"d+=+36t%5E2\" Substitute the given values of d = 2304 ft.
\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\" Use only the positive value.
\n" ); document.write( "It will take 8 seconds for the object to fall 2304 feet.
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