document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154460>Question 1154460</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by <BR>\n" );
document.write( "h(t) = −4.9t2 + 16t + 14.<BR>\n" );
document.write( " How long does it take to reach maximum height? (Round your answer to three decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776894 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+-4.9t%5E2+%2B+16t+%2B+14+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+16t+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the equation has the form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+y+=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "the formula for the t -value of the vertex <BR>\n" );
document.write( "( max or min )<BR>\n" );
document.write( "is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4.9+ ALIGN=MIDDLE  ALT=\"+a+=+-4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+16+ ALIGN=MIDDLE  ALT=\"+b+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-16+%2F+%28+2%2A%28-4.9+%29%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-16+%2F+%28+2%2A%28-4.9+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+1.63265+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+1.63265+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "It takes 1.633 sec to reach maximum height<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+6%2C+-10%2C+30%2C+-4.9x%5E2+%2B+16x+%2B+14+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+6%2C+-10%2C+30%2C+-4.9x%5E2+%2B+16x+%2B+14+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bmax%5D+=+-4.9%2A1.633%5E2+%2B+16%2A1.633+%2B+14+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-4.9%2A1.633%5E2+%2B+16%2A1.633+%2B+14+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bmax%5D+=+-13.067+%2B+26.128+%2B+14++ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-13.067+%2B+26.128+%2B+14++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bmax%5D+=+27.061+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+27.061+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "This looks close on plot<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );