document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=680405>Question 680405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A toy rocket is launched from ground level.  Its distance in feet from the ground in t seconds is given by the formula s(t)=-16t^2+208t<BR>\n" );
document.write( "(a) make a sketch of what is happening<BR>\n" );
document.write( "(b) When will the rocket be 550 feet from the ground<BR>\n" );
document.write( "(c) After how many seconds will the rocket strike the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422327 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=422327\">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=s%28t%29=-16t%5E2%2B208t ALIGN=MIDDLE  ALT=\"s%28t%29=-16t%5E2%2B208t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(a) make a sketch of what is happening\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28600%2C+600%2C+-10%2C20%2C+-350%2C+800%2Cgrid%281%29%2Ccircle%283.7%2C550%2C0.2%29%2Ccircle%289.3%2C550%2C0.2%29%2Ccircle%2813%2C0%2C0.3%29%2Cgraph%28600%2C+600%2C+-10%2C20%2C+-350%2C+800%2C-16x%5E2%2B208x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) When will the rocket be 550 feet from the ground\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=550ft=-16t%5E2%2B208t ALIGN=MIDDLE  ALT=\"550ft=-16t%5E2%2B208t\"   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=0=-16t%5E2%2B208t-550ft ALIGN=MIDDLE  ALT=\"0=-16t%5E2%2B208t-550ft\"   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=t+=+%28-208+%2B-+sqrt%28+208%5E2-4%2A%28-16%29%2A%28-550%29+%29%29%2F%282%2A%28-16%29%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+sqrt%28+208%5E2-4%2A%28-16%29%2A%28-550%29+%29%29%2F%282%2A%28-16%29%29+\"   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=t+=+%28-208+%2B-+sqrt%28+43264-35200+%29%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+sqrt%28+43264-35200+%29%29%2F-32%29+\"   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=t+=+%28-208+%2B-+sqrt%28+8064+%29%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+sqrt%28+8064+%29%29%2F-32%29+\"   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=t+=+%28-208+%2B-+89.8%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+89.8%29%2F-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-208+%2B+89.8%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B+89.8%29%2F-32%29+\"   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=t+=+-118.2%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+-118.2%2F-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3.7sec ALIGN=MIDDLE  ALT=\"t=3.7sec\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........the rocket be 550 feet from the ground when it goes up\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-208+-+89.8%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+-+89.8%29%2F-32%29+\"   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=t+=+-297.8%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+-297.8%2F-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=9.3sec ALIGN=MIDDLE  ALT=\"t=9.3sec\"   DISABLED_style= \"max-width:90%; height:auto;\" >........the rocket be 550 feet from the ground when it goes down after it reaches maximum height\r<BR>\n" );
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document.write( "(c) After how many seconds will the rocket strike the ground?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2%2B208t ALIGN=MIDDLE  ALT=\"0=-16t%5E2%2B208t\"   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=t+=+%28-208+%2B-+sqrt%28+208%5E2-4%2A%28-16%29%2A0+%29%29%2F%282%2A%28-16%29%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+sqrt%28+208%5E2-4%2A%28-16%29%2A0+%29%29%2F%282%2A%28-16%29%29+\"   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=t+=+%28-208+%2B-+sqrt%28+43264+%29%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+sqrt%28+43264+%29%29%2F-32%29+\"   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=t+=+%28-208+%2B-+208%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B-+208%29%2F-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-208+%2B+208%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+%2B+208%29%2F-32%29+\"   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=t+=+0%2F-32+ ALIGN=MIDDLE  ALT=\"t+=+0%2F-32+\"   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=t+=+0+ ALIGN=MIDDLE  ALT=\"t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-208+-+208%29%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-208+-+208%29%2F-32%29+\"   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=t+=+-416%2F-32%29+ ALIGN=MIDDLE  ALT=\"t+=+-416%2F-32%29+\"   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=t=13 ALIGN=MIDDLE  ALT=\"t=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......the rocket strike the ground in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=13sec ALIGN=MIDDLE  ALT=\"t=13sec\"   DISABLED_style= \"max-width:90%; height:auto;\" >; on a graph, that will be a point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );