document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200154>Question 200154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The path of a falling object is given by the function where vo represents the initial velocity in ft/sec and so represents the initial height in feet. <BR>\n" );
document.write( "A)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.<BR>\n" );
document.write( "B)How high is the rock after 1 sec?<BR>\n" );
document.write( "C)After how many seconds will the graph reach maximum height?<BR>\n" );
document.write( "D)What is the maximum height?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150470 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=150470\">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%2Bvo%2At%2Bso ALIGN=MIDDLE  ALT=\"s=+-16t%5E2%2Bvo%2At%2Bso\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29+=+-16t%5E2+%2B+64t+%2B+25 ALIGN=MIDDLE  ALT=\"s%28t%29+=+-16t%5E2+%2B+64t+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29+=+-16%281%29%5E2+%2B+64%2A1+%2B+25 ALIGN=MIDDLE  ALT=\"s%281%29+=+-16%281%29%5E2+%2B+64%2A1+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29+=+-16+%2B+64+%2B+25 ALIGN=MIDDLE  ALT=\"s%281%29+=+-16+%2B+64+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%281%29+=++73 ALIGN=MIDDLE  ALT=\"s%281%29+=++73\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) Find the time when the rock is again at 25 feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=+-16t%5E2+%2B+64t+%2B+25 ALIGN=MIDDLE  ALT=\"25=+-16t%5E2+%2B+64t+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-16t%28t-4%29 ALIGN=MIDDLE  ALT=\"0+=+-16t%28t-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the two values are t=0 and t=4. That is, the rock is at 25 feet high when you first throw it. It arches upward and has arced up and back down to 25 feet at t=4.<BR>\n" );
document.write( "Since the path is a parabola, the midpoint is at t=2<BR>\n" );
document.write( "d)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%282%29+=+-16%282%29%5E2+%2B+64%2A2+%2B+25 ALIGN=MIDDLE  ALT=\"s%282%29+=+-16%282%29%5E2+%2B+64%2A2+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%282%29+=+-64+%2B+128+%2B+25 ALIGN=MIDDLE  ALT=\"s%282%29+=+-64+%2B+128+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28s%29+=+89 ALIGN=MIDDLE  ALT=\"s%28s%29+=+89\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C+-1%2C+9%2C+-10%2C90%2C+-16x%5E2%2B64x%2B25%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C+-1%2C+9%2C+-10%2C90%2C+-16x%5E2%2B64x%2B25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );