document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581420>Question 581420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> h=-16t^2+vt+s, where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height(in feet)\r<BR>\n" );
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document.write( "A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. Find the time (in seconds) it takes for the gymnast to reach 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 #371661 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h=-16t^2+vt+s, where h is the height (in feet), t is the time in motion (in seconds), v is the initial velocity (in feet per second), and s is the initial height(in feet)<BR>\n" );
document.write( "A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. Find the time (in seconds) it takes for the gymnast to reach the ground. <BR>\n" );
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document.write( "from the statement of the problem we have:<BR>\n" );
document.write( "v is 8 ft per sec<BR>\n" );
document.write( "s is 8 ft<BR>\n" );
document.write( "set h to zero (ground) and solve for t:<BR>\n" );
document.write( "h=-16t^2+vt+s<BR>\n" );
document.write( "0=-16t^2+8t+8<BR>\n" );
document.write( "dividing both sides by 8:<BR>\n" );
document.write( "0=-2t^2+t+1<BR>\n" );
document.write( "multiplying both sides by -1:<BR>\n" );
document.write( "0=2t^2-t-1<BR>\n" );
document.write( "0=2t^2-2t+t-1<BR>\n" );
document.write( "0=(2t^2-2t)+(t-1)<BR>\n" );
document.write( "0=2t(t-1)+(t-1)<BR>\n" );
document.write( "0=(t-1)(2t+1)<BR>\n" );
document.write( "t = {-1/2, 1}<BR>\n" );
document.write( "throw out the negative solution leaving:<BR>\n" );
document.write( "t = 1 second\r<BR>\n" );
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