document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=388858>Question 388858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with this problem. I do not understand it I am lost.\r<BR>\n" );
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document.write( "Solving a word problem using a quadratic equation with irrational roots<BR>\n" );
document.write( "When a ball is thrown, its height in feet h after t seconds is given by the equation <BR>\n" );
document.write( "h=vt-16t^2<BR>\n" );
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document.write( "where  is the initial upwards velocity in feet per second. If v = 36 feet per second, find all values of t for which h = 19 feet. Do not round any intermediate steps. Round your answer to  decimal places. <BR>\n" );
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document.write( "Thank you very much.<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 #275269 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When a ball is thrown, its height in feet h <BR>\n" );
document.write( "after t seconds is given by the equation <BR>\n" );
document.write( "h(t) = vt-16t^2 where \"v\" is the initial <BR>\n" );
document.write( "upwards velocity in feet per second.<BR>\n" );
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document.write( "If v = 36 feet per second, find all values of t for which h = 19 feet. <BR>\n" );
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document.write( "Solve: -16t^2+36t = 19<BR>\n" );
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document.write( "-16t^2+37t-19 = 0<BR>\n" );
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document.write( "t = [-37+-sqrt(37^2-4*-16*-19)]/(-32)<BR>\n" );
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document.write( "t = [-37 +-sqrt(153)]/(-32)<BR>\n" );
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document.write( "t = (-37+12.369..]/(-32) or t = (-37-12.369]/(-32)<BR>\n" );
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document.write( "Positive solutions:<BR>\n" );
document.write( "t = 0.8723 sec. and t = 1.4045 sec. \r<BR>\n" );
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document.write( "Do not round any intermediate steps. Round your answer to decimal places.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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