document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184005>Question 184005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by \r<BR>\n" );
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document.write( "S(t)= -16t^-32t+128\r<BR>\n" );
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document.write( "A)What is the height of the wrench after 1 second?<BR>\n" );
document.write( "B)How long does it take for the wrench 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 #138046 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=138046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> S(t)= -16t^2-32t+128 <BR>\n" );
document.write( "A)What is the height of the wrench after 1 second?<BR>\n" );
document.write( "s(1) = -16-32+128 = 80 ft<BR>\n" );
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document.write( "B)How long does it take for the wrench to reach the ground?<BR>\n" );
document.write( "Height is zero when the wrench is on the ground.<BR>\n" );
document.write( "-16t^2-32t+128 = 0\r<BR>\n" );
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document.write( "Divide thru by -16 to get:\r<BR>\n" );
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document.write( "t^2 + 2t - 8 = 0\r<BR>\n" );
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document.write( "Factor:\r<BR>\n" );
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document.write( "(t+4)(t-2) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "t = 2 seconds<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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