document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007222>Question 1007222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance s(t) above the ground after t seconds is s(t) = &#8722;16t^2 + v0t + s0.\r<BR>\n" );
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document.write( "If s(2) = 131 and s(4) = 89, what are v0 and s0?\r<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 #623271 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If an object is projected vertically upward from an altitude of s0 feet with an initial velocity of v0 ft/sec, then its distance s(t) above the ground after t seconds is s(t) = &#8722;16t^2 + v0t + s0.<BR>\n" );
document.write( "If s(2) = 131 and s(4) = 89, what are v0 and s0?<BR>\n" );
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document.write( "Write an equation for each pair of values<BR>\n" );
document.write( "t=2; s=131<BR>\n" );
document.write( "-16(2^2) + 2Vo + So = 131<BR>\n" );
document.write( "-64 + 2Vo + So = 131<BR>\n" );
document.write( "2Vo + So = 131 + 64<BR>\n" );
document.write( "2Vo + So = 195<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t=4; s=89<BR>\n" );
document.write( "-16(4^2) + 4Vo + So = 89<BR>\n" );
document.write( "-256 + 4Vo + So = 89<BR>\n" );
document.write( "4Vo + So = 89 + 256<BR>\n" );
document.write( "4Vo + So = 345<BR>\n" );
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document.write( "Use elimination on these two equations<BR>\n" );
document.write( "4Vo + So = 345<BR>\n" );
document.write( "2Vo + So = 195<BR>\n" );
document.write( "-----------------Subtraction eliminated So, find Vo<BR>\n" );
document.write( "2Vo = 150<BR>\n" );
document.write( "Vo = 75 ft/sec is the upward velocity<BR>\n" );
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document.write( "Find So<BR>\n" );
document.write( "2(75) + So = 195<BR>\n" );
document.write( "150 + So = 195<BR>\n" );
document.write( "So = 195- 150<BR>\n" );
document.write( "So = 45 ft is the initial height above the ground<BR>\n" );
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document.write( "The equation<BR>\n" );
document.write( "S(t) = -16t^2 + 75t + 45 </SPAN>\n" );
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