document.write( "Question 954466: A toy rocket is launched from the top of a building 280 feet tall at an initial velocity of 112 feet per second. The height of the rocket t seconds after launch is given by the equation s(t)=-16t^2+112t+280. When does the rocket reach its maximum height? What is the maximum height? \n" ); document.write( "

Algebra.Com's Answer #582934 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+s%28t%29+=+-16t%5E2+%2B+112t+%2B+280+\"$
\n" ); document.write( "When the form is:
\n" ); document.write( " $\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"$ , then
\n" ); document.write( " $\"+x%5Bmax%5D+=+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+a+=+-16+\"$
\n" ); document.write( " $\"+b+=+112+\"$
\n" ); document.write( "--------------
\n" ); document.write( " $\"+t%5Bmax%5D+=+-112%2F%282%2A%28-16%29%29+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+112%2F32+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+3.5+\"$
\n" ); document.write( "In 3.5 sec, the rocket is at maximum height
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+s%283.5%29+=+-16%2A3.5%5E2+%2B+112%2A3.5+%2B+280+\"$
\n" ); document.write( " $\"+s%283.5%29+=+-16%2A12.25+%2B+392+%2B+280+\"$
\n" ); document.write( " $\"+s%283.5%29+=+-196+%2B+392+%2B+280+\"$
\n" ); document.write( " $\"+s%283.5%29+=+476+\"$
\n" ); document.write( "The maximum height is 476 ft
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+10%2C+-50%2C+500%2C+-16x%5E2+%2B+112x+%2B+280+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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