document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188660>Question 1188660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.An arrow is shot upward with an initial velocity of 80 feet per second. The height of the arrow, h(t), in terms of the time since the arrow was released t, is h(t)= 80t - 16t². How long after the arrow is released does it reach its maximum height? What is the maximum height?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819794 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factoring, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=-16%28t%5E2-5t%29 ALIGN=MIDDLE  ALT=\"h%28t%29=-16%28t%5E2-5t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Completing the square, we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=-16%28t%5E2-5t%29=-16%28t%5E2-5t%29%2B%28-16%29%2A6.25-%28-16%29%2A6.25=-16%28t%5E2-5t%2B6.25%29-%28-16%29%2A6.25=-16%28t-2.5%29%5E2%2B100 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Therefore, the vertex is (2.5,100). Since the vertex is the parabola's highest point when the x<sup>2</sup> coefficient is negative, it takes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282.5%29 ALIGN=MIDDLE  ALT=\"highlight%282.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > seconds for the arrow to reach its maximum height, and the maximum height is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28100%29 ALIGN=MIDDLE  ALT=\"highlight%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet. </SPAN>\n" );
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