document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077731>Question 1077731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An object moving vertically is at the given heights at the specified times. Find the position equation.\r<BR>\n" );
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document.write( "s = beveled 1 halfat2 + v0t + s0 for the object given the following conditions.<BR>\n" );
document.write( "the 0's are subscripts<BR>\n" );
document.write( "At t = 1 seconds, s = 48 feet<BR>\n" );
document.write( "At t = 2 seconds, s = 64 feet<BR>\n" );
document.write( "At t = 3 seconds, s = 48 feet\r<BR>\n" );
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document.write( "A.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+16t%5E2+-+96t+%2B+192+ ALIGN=MIDDLE  ALT=\"+s+=+16t%5E2+-+96t+%2B+192+\"   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+=+32t%5E2+-+96t+%2B+192+ ALIGN=MIDDLE  ALT=\"+s+=+32t%5E2+-+96t+%2B+192+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+-16t%5E2+%2B+64t+%2B+0+ ALIGN=MIDDLE  ALT=\"+s+=+-16t%5E2+%2B+64t+%2B+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "D.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+-32t%5E2+%2B+64t+ ALIGN=MIDDLE  ALT=\"+s+=+-32t%5E2+%2B+64t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692219 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%28t%29+=+a%2At%5E2+%2B+b%2At+%2B+c+ ALIGN=MIDDLE  ALT=\"+s%28t%29+=+a%2At%5E2+%2B+b%2At+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(1) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%281%29=+48+ ALIGN=MIDDLE  ALT=\"+s%281%29=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+a%2A1%5E2+%2B+b%2A1+%2B+c+ ALIGN=MIDDLE  ALT=\"+48+=+a%2A1%5E2+%2B+b%2A1+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+48+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(2) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%282%29+=+64+ ALIGN=MIDDLE  ALT=\"+s%282%29+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+=+a%2A2%5E2+%2B+b%2A2+%2B+c+ ALIGN=MIDDLE  ALT=\"+64+=+a%2A2%5E2+%2B+b%2A2+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+%2B+2b+%2B+c+=+64+ ALIGN=MIDDLE  ALT=\"+4a+%2B+2b+%2B+c+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "(3) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%283%29+=+48+ ALIGN=MIDDLE  ALT=\"+s%283%29+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+=+a%2A3%5E2+%2B+b%2A3+%2B+c+ ALIGN=MIDDLE  ALT=\"+48+=+a%2A3%5E2+%2B+b%2A3+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+%2B+3b+%2B+c+=+48+ ALIGN=MIDDLE  ALT=\"+9a+%2B+3b+%2B+c+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "From (1) and (3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+9a+%2B+3b+%2B+c+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+9a+%2B+3b+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+9a+%2B+3b+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+9a+%2B+3b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8a+=+-2b+ ALIGN=MIDDLE  ALT=\"+8a+=+-2b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-4a+ ALIGN=MIDDLE  ALT=\"+b+=+-4a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+%2B+2b+%2B+c+=+64+ ALIGN=MIDDLE  ALT=\"+4a+%2B+2b+%2B+c+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-a+-+b+-+c+=+-48+ ALIGN=MIDDLE  ALT=\"+-a+-+b+-+c+=+-48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+b+=+16+ ALIGN=MIDDLE  ALT=\"+3a+%2B+b+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug (1) into (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+-+4a+=+16+ ALIGN=MIDDLE  ALT=\"+3a+-+4a+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-16+ ALIGN=MIDDLE  ALT=\"+a+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-4a+ ALIGN=MIDDLE  ALT=\"+b+=+-4a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+-4%2A%28-16%29+ ALIGN=MIDDLE  ALT=\"+b+=+-4%2A%28-16%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+64+ ALIGN=MIDDLE  ALT=\"+b+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9a+%2B+3b+%2B+c+=+48+ ALIGN=MIDDLE  ALT=\"+9a+%2B+3b+%2B+c+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2A%28-16%29+%2B+3%2A64+%2B+c+=+48+ ALIGN=MIDDLE  ALT=\"+9%2A%28-16%29+%2B+3%2A64+%2B+c+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-144+%2B+192+%2B+c+=+48+ ALIGN=MIDDLE  ALT=\"+-144+%2B+192+%2B+c+=+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+144+-+192+%2B+48+ ALIGN=MIDDLE  ALT=\"+c+=+144+-+192+%2B+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+0+ ALIGN=MIDDLE  ALT=\"+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "So, I have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-16+ ALIGN=MIDDLE  ALT=\"+a+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+64+ ALIGN=MIDDLE  ALT=\"+b+=+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+0+ ALIGN=MIDDLE  ALT=\"+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is (C) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+64t+%2B+0+ ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+64t+%2B+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );