document.write( "Question 28346: A rock falls off a building, and its position after t seconds of free fall is 269-16t2 feet above the ground. The building is 269 feet tall. \r
\n" ); document.write( "\n" ); document.write( "a. What is the rock’s velocity at t=3 seconds?
\n" ); document.write( "b. How long does it take the rock to hit the ground?
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Algebra.Com's Answer #15411 by Paul(988)\"\" \"About 
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Differenitate:
\n" ); document.write( "\"dy%2Fdx=-16%5E2%2B269\"
\n" ); document.write( "=-32x
\n" ); document.write( "Lim(-32x) ---> -32(3)=-96
\n" ); document.write( "x->3\r
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\n" ); document.write( "\n" ); document.write( "a) HENCE, the rock's velocity is -96 at 3 second.\r
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\n" ); document.write( "\n" ); document.write( "b) \"-16x%5E2=-269\"
\n" ); document.write( "\"x%5E2=16.8125\"
\n" ); document.write( "x=4.1\r
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\n" ); document.write( "\n" ); document.write( "Hence, it takes the rock about 4.1 seconds to hit the ground.
\n" ); document.write( "Paul.
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