document.write( "Question 212410This question is from textbook Intermediate Algebra
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document.write( ": \"The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far does it fall in 3 seconds?\"
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document.write( " I respectfully request if you can show all work. Thank you very much.
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Algebra.Com's Answer #160416 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! \"The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far does it fall in 3 seconds?\" \n" ); document.write( "s = kt^2 s = distance, k = a constant \n" ); document.write( "400 = k*5^2 = 25k \n" ); document.write( "k = 400/25 = 16 \n" ); document.write( "--> s = 16t^2 \n" ); document.write( "----------- \n" ); document.write( "For 3 seconds: \n" ); document.write( "s = 16*9 \n" ); document.write( "s = 144 feet \n" ); document.write( " |