document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980034>Question 980034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A football is kicked into the air with an initial upward velocity of 29.4 meters per seconds. Using: h(t)=-4.9t^2+29.4t<BR>\n" );
document.write( "a. Calculate the height after 1) 2 seconds and 2) 3 seconds<BR>\n" );
document.write( "b. When will the ball be at its maximum height and what is the maximum height?<BR>\n" );
document.write( "c. When will the ball hit the ground?<BR>\n" );
document.write( "d. What is the domain and range for this function?<BR>\n" );
document.write( "please help me with this summer packet question. Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601269 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=601269\">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%28t%29+=+-4.9t%5E2+%2B+29.4t+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+-4.9t%5E2+%2B+29.4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+2+ ALIGN=MIDDLE  ALT=\"+t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%282%29+=+-4.9%2A2%5E2+%2B+29.4%2A2+ ALIGN=MIDDLE  ALT=\"+h%282%29+=+-4.9%2A2%5E2+%2B+29.4%2A2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%282%29+=+-19.6+%2B+58.8+ ALIGN=MIDDLE  ALT=\"+h%282%29+=+-19.6+%2B+58.8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%282%29+=+39.2+ ALIGN=MIDDLE  ALT=\"+h%282%29+=+39.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "-------------------<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%283%29+=+-4.9%2A3%5E2+%2B+29.4%2A3+ ALIGN=MIDDLE  ALT=\"+h%283%29+=+-4.9%2A3%5E2+%2B+29.4%2A3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%283%29+=+-44.1+%2B+88.2+ ALIGN=MIDDLE  ALT=\"+h%283%29+=+-44.1+%2B+88.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%283%29+=+44.1+ ALIGN=MIDDLE  ALT=\"+h%283%29+=+44.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "The horizontal coordinate of the max height<BR>\n" );
document.write( "is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4.9+ ALIGN=MIDDLE  ALT=\"+a+=+-4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+29.4+ ALIGN=MIDDLE  ALT=\"+b+=+29.4+\"   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=+t%5Bmax%5D+=+-29.4+%2F+%28-9.8+%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-29.4+%2F+%28-9.8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+3+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The max height is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%283%29+=+44.1+ ALIGN=MIDDLE  ALT=\"+h%283%29+=+44.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > m<BR>\n" );
document.write( "as already shown<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(c)<BR>\n" );
document.write( "The ball hits the ground when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h%28t%29+=+0+ ALIGN=MIDDLE  ALT=\"+h%28t%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4.9t%5E2+%2B+29.4t++=+0+ ALIGN=MIDDLE  ALT=\"+-4.9t%5E2+%2B+29.4t++=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+-4.9t+%2B+29.4+%29+=+0+ ALIGN=MIDDLE  ALT=\"+t%2A%28+-4.9t+%2B+29.4+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4.9t+=+29.4+ ALIGN=MIDDLE  ALT=\"+4.9t+=+29.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6+ ALIGN=MIDDLE  ALT=\"+t+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ball hits the ground in 6 sec<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "(d)<BR>\n" );
document.write( "The range is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+44.1+ ALIGN=MIDDLE  ALT=\"+44.1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The domain is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+ ALIGN=MIDDLE  ALT=\"+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+7%2C+-5%2C+50%2C+-4.9x%5E2+%2B+29.4x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+7%2C+-5%2C+50%2C+-4.9x%5E2+%2B+29.4x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );