document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111135>Question 111135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a falling object is given by the function s=-16t2+v0t+s0 where v0 represents the initial velocity in ft/sec and s0 represents the initial height in feet. <BR>\n" );
document.write( "If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information. Typing hint: Type t-squared as t^2<BR>\n" );
document.write( "How high is the rock after 1 second?<BR>\n" );
document.write( "After how many seconds will the graph reach maximum height? <BR>\n" );
document.write( "What is the maximum height? \r<BR>\n" );
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document.write( "Can you show me details. thanks<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 #81084 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2Bv%5B0%5Dt%2Bs%5B0%5D ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2Bv%5B0%5Dt%2Bs%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2B64t%2B25 ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2B64t%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" >: substituting the values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D=64+fps ALIGN=MIDDLE  ALT=\"v%5B0%5D=64+fps\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B0%5D=25feet ALIGN=MIDDLE  ALT=\"s%5B0%5D=25feet\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "After 1 second, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16%281%29%5E2%2B64%281%29%2B25=-16%2B64%2B25=73 ALIGN=MIDDLE  ALT=\"s=-16%281%29%5E2%2B64%281%29%2B25=-16%2B64%2B25=73\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16t%5E2%2B64t%2B25 ALIGN=MIDDLE  ALT=\"s=-16t%5E2%2B64t%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" > would graph as a parabola opening downward, and the maximum height would occur at the vertex of the parabola.  The t-coordinate of the vertex is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2F2a=-64%2F%282%28-16%29%29=2 ALIGN=MIDDLE  ALT=\"-b%2F2a=-64%2F%282%28-16%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=-16%282%29%5E2%2B64%282%29%2B25=-64%2B128%2B25=89feet ALIGN=MIDDLE  ALT=\"s=-16%282%29%5E2%2B64%282%29%2B25=-64%2B128%2B25=89feet\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-0.5%2C6%2C-10%2C100%2C-16x%5E2%2B64x%2B25%2C25%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-0.5%2C6%2C-10%2C100%2C-16x%5E2%2B64x%2B25%2C25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When interpreting the graph, remember that the x-axis is time, and the y-axis is distance.  Notice that the graph crosses the y-axis at 25 feet because that is the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B0%5D ALIGN=MIDDLE  ALT=\"s%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Also, anything on the graph to the left of the y-axis is meaningless because that would represent negative time values, and anything below the x-axis represents something beneath the ground.<BR>\n" );
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