document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17089>Question 17089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you throw a rock upward from a height of 64 feet with an intial velocity of 48 feet per second the rock will hit the ground after __ seconds. <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 #8268 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=8268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height, h, of an object thrown upward from an initial height, Ho, with an initial velocity, Vo, is given by the function h as a function of time, t:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+Vot+%2B+Ho ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+Vot+%2B+Ho\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since Vo = 48 ft/sec and Ho 64 ft, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+48t+%2B+64 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+48t+%2B+64\"   DISABLED_style= \"max-width:90%; height:auto;\" > You want to know at what time, t, will the rock hit the ground (h = 0). Set the above function = 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B+48t+%2B+64+=+0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B+48t+%2B+64+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation for t. First, factor -16.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16%28t%5E2+-+3t+-+4%29+=+0 ALIGN=MIDDLE  ALT=\"-16%28t%5E2+-+3t+-+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2+-+3t+-+4+=+0 ALIGN=MIDDLE  ALT=\"t%5E2+-+3t+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t+-+4%29%28t+%2B+1%29 ALIGN=MIDDLE  ALT=\"%28t+-+4%29%28t+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Again, apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+-+4+=+0 ALIGN=MIDDLE  ALT=\"t+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%2B+1+=+0 ALIGN=MIDDLE  ALT=\"t+%2B+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If t - 4 = 0, then t = 4 seconds<BR>\n" );
document.write( "If t + 1 = 0, then t = -1 second...Discard this solution as negative time is not meaningful in this problem.\r<BR>\n" );
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document.write( "The rock hits the ground after 4 seconds. </SPAN>\n" );
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