document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025197>Question 1025197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Skywalk is a glass-bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by<BR>\n" );
document.write( "H(t) = &#8722;16t2 + 240t + 4000\r<BR>\n" );
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document.write( "where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot.\r<BR>\n" );
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document.write( "(a) Find H(3) and explain its meaning. (Include units with your numerical answers.)<BR>\n" );
document.write( "After, the arrow was at a height of_____.\r<BR>\n" );
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document.write( "(b) Use factoring to determine how many seconds before the arrow was at a height of 1536 feet. (Include units with your numerical answer.)<BR>\n" );
document.write( "It took about______for the arrow to get to 1536 feet.\r<BR>\n" );
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document.write( "(c) Use factoring to determine after how many seconds the arrow would hit the canyon floor. (Include units with your numerical answer.)<BR>\n" );
document.write( "After, _____ the arrow hits the canyon floor. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640679 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640679\">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+=-16t%5E2+%2B+240t+%2B+4000 ALIGN=MIDDLE  ALT=\"H%28t%29+=-16t%5E2+%2B+240t+%2B+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > defined for the time that the arrow is in flight,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E=0 ALIGN=MIDDLE  ALT=\"t%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%28t%29%3E=0 ALIGN=MIDDLE  ALT=\"H%28t%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "is the height of the arrow above the canyon floor in feet <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds after being shot.<BR>\n" );
document.write( " <BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%283%29=-16%2A3%5E2+%2B+240%2A3+%2B+4000=-16%2A9%2B720%2B4000=-144%2B720%2B4000=4578 ALIGN=MIDDLE  ALT=\"H%283%29=-16%2A3%5E2+%2B+240%2A3+%2B+4000=-16%2A9%2B720%2B4000=-144%2B720%2B4000=4578\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds, the arrow was at a height of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4578 ALIGN=MIDDLE  ALT=\"4578\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. <BR>\n" );
document.write( " <BR>\n" );
document.write( "(b)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%28t%29+=1536 ALIGN=MIDDLE  ALT=\"H%28t%29+=1536\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+240t+%2B+4000=1536 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+240t+%2B+4000=1536\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+240t+%2B+4000-1536=0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+240t+%2B+4000-1536=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+240t+%2B+2464=0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+240t+%2B+2464=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Dividing both sides of the equal sign 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;\" > we get the equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-15t-154=0 ALIGN=MIDDLE  ALT=\"t%5E2-15t-154=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which we can solve by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-15t-154=0 ALIGN=MIDDLE  ALT=\"t%5E2-15t-154=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B7%29%28t-22%29=0 ALIGN=MIDDLE  ALT=\"%28t%2B7%29%28t-22%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t%2B7=0%2C%22or%22%2Ct-22=0%29 ALIGN=MIDDLE  ALT=\"system%28t%2B7=0%2C%22or%22%2Ct-22=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t=-7%2C%22or%22%2Ct=22%29 ALIGN=MIDDLE  ALT=\"system%28t=-7%2C%22or%22%2Ct=22%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=-7 ALIGN=MIDDLE  ALT=\"t=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not make sense; it is not in the domain of the function, where it must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E=0 ALIGN=MIDDLE  ALT=\"t%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=22 ALIGN=MIDDLE  ALT=\"t=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "It took about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22 ALIGN=MIDDLE  ALT=\"22\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds))) for the arrow to get to 1536 feet.<BR>\n" );
document.write( " <BR>\n" );
document.write( "c) When the arrow hits the canyon floor, it is <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 above the canyon floor, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%28t%29=0 ALIGN=MIDDLE  ALT=\"H%28t%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+240t+%2B+4000=0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+240t+%2B+4000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing both sides of the equal sign 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;\" > we get the equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-15t-250=0 ALIGN=MIDDLE  ALT=\"t%5E2-15t-250=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which we can solve by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-15t-250=0 ALIGN=MIDDLE  ALT=\"t%5E2-15t-250=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B10%29%28t-25%29=0 ALIGN=MIDDLE  ALT=\"%28t%2B10%29%28t-25%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t%2B10=0%2C%22or%22%2Ct-25=0%29 ALIGN=MIDDLE  ALT=\"system%28t%2B10=0%2C%22or%22%2Ct-25=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28t=-10%2C%22or%22%2Ct=25%29 ALIGN=MIDDLE  ALT=\"system%28t=-10%2C%22or%22%2Ct=25%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=-10 ALIGN=MIDDLE  ALT=\"t=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not make sense; it is not in the domain of the function, where it must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%3E=0 ALIGN=MIDDLE  ALT=\"t%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=25 ALIGN=MIDDLE  ALT=\"t=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "After <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds, the arrow hits the canyon floor. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );