document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915633>Question 915633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the function h=-16t^2+38t models the height h in feet of a ball at a time t in seconds. Can the ball reach 25 feet? 20ft? What is the max height of the ball and how long will it take to get there? Please show work! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555677 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=555677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the equation has the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%2Ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+a%2Ax%5E2+%2B+b%2Ax+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the<BR>\n" );
document.write( "x-coordinate of the maximum is<BR>\n" );
document.write( "at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "In this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+-16t%5E2+%2B+38t+ ALIGN=MIDDLE  ALT=\"+h+=+-16t%5E2+%2B+38t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-38%2F%282%2A%28-16%29%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-38%2F%282%2A%28-16%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=+-b%2F%282a%29+=+19%2F16+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+19%2F16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "in seconds<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+1.188+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+1.188+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%5Bmax%5D+=+-16%2A%2819%2F16%29%5E2+%2B+38%2A%2819%2F16%29+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-16%2A%2819%2F16%29%5E2+%2B+38%2A%2819%2F16%29+\"   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+=+-361%2F16+%2B+722%2F16+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+-361%2F16+%2B+722%2F16+\"   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+=+361%2F16+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+361%2F16+\"   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+=+22.563+ ALIGN=MIDDLE  ALT=\"+h%5Bmax%5D+=+22.563+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The ball reaches 20 ft, but not 25 ft<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+-1%2C+3%2C+-2%2C+25%2C+-16x%5E2+%2B+38x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+3%2C+-2%2C+25%2C+-16x%5E2+%2B+38x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );