document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=608152>Question 608152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an arrow is fired into the air with an initial velocity of 160 feet per second.  The height in feet of the arrow t seconds after it was shot into the air is given by the function h(t)= -16t^2+160t. find the maximum height of the arrow. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383072 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=383072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an arrow is fired into the air with an initial velocity of 160 feet per second.  The height in feet of the arrow t seconds after it was shot into the air is given by the function h(t)= -16t^2+160t. find the maximum height of the arrow.<BR>\n" );
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document.write( "The simplest way to do this is to find the 2 times when h = 0, at launch and at impact.<BR>\n" );
document.write( "The time at max height is the average of the 2, or 1/2 the total time of flight.<BR>\n" );
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document.write( "-16t^2+160t = 0<BR>\n" );
document.write( "t = 0 (launch)<BR>\n" );
document.write( "t = 10 (impact)<BR>\n" );
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document.write( "h(t)= -16t^2+160t<BR>\n" );
document.write( "Max ht is h(5)<BR>\n" );
document.write( "= 400 feet<BR>\n" );
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