document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140857>Question 1140857</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rocket is launched upward with a velocity of 288 feet per second from the top of a 60-foot building. What is the maximum height attained by the rocket?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761362 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=761362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation for the height of the rocket at time t is<BR>\n" );
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document.write( "1) h(t)= -16t^2 + 288t + 60<BR>\n" );
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document.write( "the rocket follows the path of a parabola that curves downward<BR>\n" );
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document.write( "t is the x-axis and h is the y axis<BR>\n" );
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document.write( "The t value for the vertex is -b/2a = -288/2(-16) = -288/-32 = 9<BR>\n" );
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document.write( "To find the max height of the rocket substitute t = 9 in equation 1<BR>\n" );
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document.write( "h(9) = -16(9^2) +288(9) +60 = 1356 feet<BR>\n" );
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