document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131808>Question 1131808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height in feet of a projectile with an initial velocity of 96 feet per second and an initial height of 256 feet is a function of time in seconds given by<BR>\n" );
document.write( "h(t) = &#8722;16t2 + 96t + 256.<BR>\n" );
document.write( "(a) Find the maximum height of the projectile._______ft<BR>\n" );
document.write( "(b) Find the time t when the projectile achieves its maximum height.<BR>\n" );
document.write( "t =_____________sec<BR>\n" );
document.write( "(c) Find the time t when the projectile has a height of 0 feet.<BR>\n" );
document.write( "t =___________sec </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748484 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748484\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-t%5E2+%2B+96t+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-t%5E2+%2B+96t+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(a) Find the maximum height of the projectile._______ft\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+96t+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+96t+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> the maximum is at vertex<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16%28t%5E2+%2B+6t%29+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16%28t%5E2+%2B+6t%29+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" >...complete square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16%28t%5E2+%2B+6t%2Bb%5E2%29-%28-16%29b%5E2+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16%28t%5E2+%2B+6t%2Bb%5E2%29-%28-16%29b%5E2+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16%28t%5E2+%2B+6t%2B3%5E2%29%2B16%2A3%5E2+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16%28t%5E2+%2B+6t%2B3%5E2%29%2B16%2A3%5E2+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16%28t%2B3%29%5E2%2B144+%2B+256 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16%28t%2B3%29%5E2%2B144+%2B+256\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16%28t%2B3%29%5E2%2B400 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16%28t%2B3%29%5E2%2B400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-3 ALIGN=MIDDLE  ALT=\"h=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=400 ALIGN=MIDDLE  ALT=\"k=400\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400 ALIGN=MIDDLE  ALT=\"400\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "the maximum height of the projectile._<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400 ALIGN=MIDDLE  ALT=\"400\"   DISABLED_style= \"max-width:90%; height:auto;\" >__ft\r<BR>\n" );
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document.write( "(b) Find the time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >when the projectile achieves its maximum height.\r<BR>\n" );
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document.write( "The<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t ALIGN=MIDDLE  ALT=\"+t\"   DISABLED_style= \"max-width:90%; height:auto;\" > value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a=-96%2F-32 ALIGN=MIDDLE  ALT=\"-b%2F2a=-96%2F-32\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >seconds<BR>\n" );
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document.write( "(c) Find the time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+ ALIGN=MIDDLE  ALT=\"t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >when the projectile has a height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2%2B96t%2B256=0 ALIGN=MIDDLE  ALT=\"-16t%5E2%2B96t%2B256=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-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%5E2-6t-16=0 ALIGN=MIDDLE  ALT=\"t%5E2-6t-16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-8%29%28t%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28t-8%29%28t%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=8 ALIGN=MIDDLE  ALT=\"t=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds, (need only positive root )<BR>\n" );
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