document.write( "Question 1073859: A catapult launches its ammo across a battlefield. The Height of the rock launched at
\n" ); document.write( "any time after it has been “fired” can be found using the equation h(t)=48t-16t^2 \r
\n" ); document.write( "\n" ); document.write( "determine how long itll take the rock to reach 36 feet \n" ); document.write( "

Algebra.Com's Answer #688643 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+h%28t%29+=+36+\"$
\n" ); document.write( " $\"+36+=+48t+-+16t%5E2+\"$
\n" ); document.write( " $\"+9+=+12t+-+4t%5E2+\"$
\n" ); document.write( " $\"+-4t%5E2+%2B+12t+-+9+=+0+\"$
\n" ); document.write( " $\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"+a+=+-4+\"$
\n" ); document.write( " $\"+b+=+12+\"$
\n" ); document.write( " $\"+c+=+-9+\"$
\n" ); document.write( " $\"+t+=+%28+-12+%2B-+sqrt%28+12%5E2-4%2A%28-4%29%2A%28-9%29+%29%29%2F%282%2A%28-4%29%29+\"$
\n" ); document.write( " $\"+t+=+%28+-12+%2B-+sqrt%28+144+-+144+%29%29%2F%282%2A%28-4%29%29+\"$
\n" ); document.write( " $\"+t+=+%28+-12+%29+%2F+%28-8%29+\"$
\n" ); document.write( " $\"+t+=+3%2F2+\"$
\n" ); document.write( "It takes 1.5 sec to reach height of 36 ft and that
\n" ); document.write( "must be the maximum, since there is only 1 answer
\n" ); document.write( "Otherwise, you would get 2 answers: one for when
\n" ); document.write( "it was going up, and one for when it was going down.
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\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-1%2C+4%2C+-5%2C+50%2C+-16x%5E2+%2B+48x+%29+\"$ \r
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