document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028027>Question 1028027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a basketball game, members of the Spirit Club use a t-shirt cannon to launch team t-shirts to spectators in the stands. The equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v.\r<BR>\n" );
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document.write( "h = -16t^2 + vt + c\r<BR>\n" );
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document.write( "Solve the equation for initial velocity, v.<BR>\n" );
document.write( "The cannon launched a t-shirt from an initial height of 5 feet. After 3 seconds the shirt has reached a height of 131 feet. Use the equation from #1 to find the initial velocity of the t-shirt.<BR>\n" );
document.write( "What does the equation from #1 tell you about the value of the velocity, v, when t = 0?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643217 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=643217\">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=+h+=+-16t%5E2+%2B+v%2At+%2B+c+ ALIGN=MIDDLE  ALT=\"+h+=+-16t%5E2+%2B+v%2At+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+ ALIGN=MIDDLE  ALT=\"+v+\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v%2At+=++16t%5E2+-+c+%2B+h+ ALIGN=MIDDLE  ALT=\"+v%2At+=++16t%5E2+-+c+%2B+h+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "The initial height is when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%280%29+=+-16%2A0%5E2+%2B+v%2A0+%2B+c+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+-16%2A0%5E2+%2B+v%2A0+%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=+h%280%29+=+c+ ALIGN=MIDDLE  ALT=\"+h%280%29+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+5+ ALIGN=MIDDLE  ALT=\"+c+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+3+ ALIGN=MIDDLE  ALT=\"+t+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+131+ ALIGN=MIDDLE  ALT=\"+h+=+131+\"   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=+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+16%2A3+%2B+%28131+-+5+%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+v+=+16%2A3+%2B+%28131+-+5+%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+48+%2B+126%2F3+ ALIGN=MIDDLE  ALT=\"+v+=+48+%2B+126%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+48+%2B+42+ ALIGN=MIDDLE  ALT=\"+v+=+48+%2B+42+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+90+ ALIGN=MIDDLE  ALT=\"+v+=+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft/sec<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+ ALIGN=MIDDLE  ALT=\"+v+=+16t+%2B+%28+h+-+c+%29+%2F+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+c+ ALIGN=MIDDLE  ALT=\"+h+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "you are at the initial height<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+h-c+%29%2Ft+=+0%2F0+ ALIGN=MIDDLE  ALT=\"+%28+h-c+%29%2Ft+=+0%2F0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+16%2A0+%2B+0%2F0+ ALIGN=MIDDLE  ALT=\"+v+=+16%2A0+%2B+0%2F0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v+=+0%2F0+ ALIGN=MIDDLE  ALT=\"+v+=+0%2F0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That means you cannot determine the initial<BR>\n" );
document.write( "velocity at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );