document.write( "Question 322376: An object in free fall travels a distance s that is directly proportional to the square of the time t. If an object falls 1,024 feet in 8 seconds, how far will it fall in 12 seconds?
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Algebra.Com's Answer #230819 by Earlsdon(6294) $\"\"$ $\"About$

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Write the equation of proportionality:
\n" ); document.write( " $\"s%28t%29+=+kt%5E2\"$ where k is the constant of proportionality.
\n" ); document.write( "First find the value of k by substituting the given values of s=1,024 feet and t=8 seconds.
\n" ); document.write( " $\"1024+=+k%288%5E2%29\"$
\n" ); document.write( " $\"1024+=+k%2864%29\"$
\n" ); document.write( " $\"k+=+16\"$ Substitute this into the given function then you can solve the problem:
\n" ); document.write( " $\"s%28t%29+=+16t%5E2\"$ Substitute t = 12.
\n" ); document.write( " $\"s%2812%29+=+16%2812%5E2%29\"$ Evaluate.
\n" ); document.write( " $\"s%2812%29+=+16%28144%29\"$
\n" ); document.write( " $\"s%2812%29+=+2304\"$ feet.
\n" ); document.write( "The objct will fall 2304 feet in 12 seconds. \n" ); document.write( "

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