document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006930>Question 1006930</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A slingshot is used to launch a marble vertically into the air with a velocity of 90 meters per second, from a starting height of 1.5 meters. The height of the marble can be modeled by the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=+-4.9t%5E2%2B90t%2B1.5 ALIGN=MIDDLE  ALT=\"h%28t%29=+-4.9t%5E2%2B90t%2B1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > where h(t) is the height in meters and t is the time in seconds after the slingshot is fired. \r<BR>\n" );
document.write( "\n" );
document.write( "a.) What is the maximum height the marble will read? Round to the nearest meter.<BR>\n" );
document.write( "b.) How long will the marble stay in the air before returning tot he ground? Round to the nearest second. \r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622971 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A slingshot is used to launch a marble vertically into the air with a velocity of 90 meters per second, from a starting height of 1.5 meters. The height of the marble can be modeled by the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=+-4.9t%5E2%2B90t%2B1.5 ALIGN=MIDDLE  ALT=\"h%28t%29=+-4.9t%5E2%2B90t%2B1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > where h(t) is the height in meters and t is the time in seconds after the slingshot is fired. \r<BR>\n" );
document.write( "\n" );
document.write( "a.) What is the maximum height the marble will read? Round to the nearest meter.<BR>\n" );
document.write( "Max height is the vertex of the parabola.<BR>\n" );
document.write( "The vertex is on the LOS (Line of Symmetry)<BR>\n" );
document.write( "The LOS is t = -b/2a = -90/-9.8<BR>\n" );
document.write( "Max ht = h(45/4.9)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "b.) How long will the marble stay in the air before returning tot he ground? Round to the nearest second. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29=+-4.9t%5E2%2B90t%2B1.5 ALIGN=MIDDLE  ALT=\"h%28t%29=+-4.9t%5E2%2B90t%2B1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for h(t) = 0.  Use the positive value.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );