document.write( "Question 1157715: A ball is thrown vertically upward from the ground with an initial velocity of 134 ft/sec. Use the quadratic function
\n" ); document.write( "h(t) = −16t2 + 134t + 0
\n" ); document.write( " to find how long it will take for the ball to reach its maximum height (in seconds), and then find the maximum height (in feet) \n" ); document.write( "

Algebra.Com's Answer #780588 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+h%28t%29+=+-16t%5E2+%2B+134t+\"$
\n" ); document.write( "The vertex ( maximum ) is located midway between
\n" ); document.write( "the roots where $\"+h%28t%29+=+0+\"$
\n" ); document.write( " $\"+h%28t%29+=+t%2A%28+-16t+%2B+134+%29+\"$
\n" ); document.write( " $\"+0+=+t%28+-16t+%2B+134+%29+\"$
\n" ); document.write( "the roots are:
\n" ); document.write( " $\"+t+=+0+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+-16t+%2B+134+=+0+\"$
\n" ); document.write( " $\"+16t+=+134+\"$
\n" ); document.write( " $\"+t+=+8.375+\"$ sec
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+%28+8.375+%2B+0++%29+%2F+2+=+4.1875+\"$
\n" ); document.write( " $\"+t%5Bmax%5D+=+4.1875+\"$ ( time to reach maximum height )
\n" ); document.write( "Plug this back into equation
\n" ); document.write( " $\"+h%28t%29+=+t%2A%28+-16t+%2B+134+%29+\"$
\n" ); document.write( " $\"+h%5Bmax%5D+=+4.1875%2A%28+-16%2A4.1875+%2B+134+%29+\"$
\n" ); document.write( " $\"+h%5Bmax%5D+=+4.1875%2A%28+-67+%2B+134+%29+\"$
\n" ); document.write( " $\"+h%5Bmax%5D+=+280.56+\"$ ft ( maximum height )
\n" ); document.write( "check:
\n" ); document.write( "Here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-2%2C+10%2C+-30%2C+320%2C++-16x%5E2+%2B+134x+%29+\"$
\n" ); document.write( "Looks OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );