document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109729>Question 1109729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a games intermission, a team mascot launches t-shirts into the stands. The height (in feet) of an airborne t-shirt t seconds after it is launched is approximated by h=15t^2+75+10<BR>\n" );
document.write( "QUESTIONS:<BR>\n" );
document.write( "a) How high is a t-shirt 1 second after it is launches?<BR>\n" );
document.write( "b)how long was a t-shirt airborne if it is caught on the way up by a fan 100ft above ground level?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724702 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=724702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During a games intermission, a team mascot launches t-shirts into the stands. The height (in feet) of an airborne t-shirt t seconds after it is launched is approximated by h=15t^2+75t+10<BR>\n" );
document.write( "QUESTIONS:<BR>\n" );
document.write( "a) How high is a t-shirt 1 second after it is launches?<BR>\n" );
document.write( "h(1) = 15+75+10 = 100 ft<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "b)how long was a t-shirt airborne if it is caught on the way up by a fan 100ft above ground level? <BR>\n" );
document.write( "Solve 15t^2+75t+10 = 100<BR>\n" );
document.write( "15t^2 + 75t - 90 = 0<BR>\n" );
document.write( "3t^2 + 15t - 18 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "t = [-15 +- sqrt(15^2-4*3*-18)]/6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "t = [-15 +- sqrt(441)]/6<BR>\n" );
document.write( "t = [-15+-21]/6<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "time = 6/6 = 1 second<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );