document.write( "Question 577440: The distance that a body falls in t seconds varies directly as the square of t. if body falls 16 feet in 1 seconds, how long will it take to fall 144 ft? \n" ); document.write( "

Algebra.Com's Answer #370173 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d+\"$ = distance body falls
\n" ); document.write( "given:
\n" ); document.write( " $\"+d+=+k%2At%5E2+\"$ where $\"k\"$ is some constant
\n" ); document.write( " $\"+16+=+k%2A1%5E2+\"$
\n" ); document.write( " $\"+k+=+16+\"$
\n" ); document.write( "so, $\"+d+=+16t%5E2+\"$
\n" ); document.write( " $\"+144+=+16t%5E2+\"$
\n" ); document.write( " $\"+t%5E2+=+144%2F16+\"$
\n" ); document.write( " $\"+t%5E2+=+9+\"$
\n" ); document.write( " $\"+t+=+3+\"$
\n" ); document.write( "It will take 3 sec \n" ); document.write( "

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