document.write( "Question 181630: The altitude in feet of a toy rocket t seconds after launch is given by the function S(t) = -16t^2 + 128t.\r
\n" ); document.write( "\n" ); document.write( "What is the maximum altitude reached by the rocket?\r
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\n" ); document.write( "\n" ); document.write( "How long does it take for the rocket to reach this maximum altitude?
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Algebra.Com's Answer #136258 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"S%28t%29+=+-16t%5E2+%2B+128t\"
\n" ); document.write( "With a parabola, the maximum or minimum occurs wher
\n" ); document.write( "\"t+=+%28-b%29%2F%282a%29\" when the general formula is
\n" ); document.write( "\"S%28t%29+=+at%5E2+%2B+bt+%2B+c\"
\n" ); document.write( "\"a+=+-16\"
\n" ); document.write( "\"b+=+128\"
\n" ); document.write( "\"%28-b%29%2F%282a%29+=+%28-128%29%2F%282%2A%28-16%29%29\"
\n" ); document.write( "\"%28-b%29%2F%282a%29+=+4\"sec
\n" ); document.write( "In 4 sec the rocket will reach it's maximum altitude
\n" ); document.write( "\"S%28t%29+=+-16t%5E2+%2B+128t\"
\n" ); document.write( "\"S%284%29+=+-16%2A4%5E2+%2B+128%2A4\"
\n" ); document.write( "\"S%284%29+=+-128+%2B+128%2A4\"
\n" ); document.write( "\"S%284%29+=+384\" ft
\n" ); document.write( "The maximum altitude is 384 ft
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