document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65416>Question 65416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> thanks so much for helping me, guys!...i am almost finished with this unit, but unfortunately i am stumped  again.  imagine you are serving a volleyball underhanded.  suppose you hit the ball when it is 3 feet above the ground, and it leaves your hand with an initial upward velocity of 20 feet per second.<BR>\n" );
document.write( "general formula for height:  H=-1/2*gt^+vt+h where g is the acceleration due to gravity, and on the earth, equals 32ft/sec^.  v is the initial upward velocity of the object and h is the initial height above the ground.<BR>\n" );
document.write( "the question is:  what is the maximum height that the volleyball will reach and how many seconds will it take to reach this height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45944 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=45944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine you are serving a volleyball underhanded.  suppose you hit the ball when it is 3 feet above the ground, and it leaves your hand with an initial upward velocity of 20 feet per second.<BR>\n" );
document.write( "general formula for height:  H=-1/2*gt^+vt+h where g is the acceleration due to gravity, and on the earth, equals 32ft/sec^.  v is the initial upward velocity of the object and h is the initial height above the ground.<BR>\n" );
document.write( "the question is:  what is the maximum height that the volleyball will reach and how many seconds will it take to reach this height?<BR>\n" );
document.write( "h=3, v=20, and g=32<BR>\n" );
document.write( "The formula for height:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=%28-1%2F2%29%2832%29t%5E2%2B%2820%29t%2B3 ALIGN=MIDDLE  ALT=\"H=%28-1%2F2%29%2832%29t%5E2%2B%2820%29t%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=-16t%5E2%2B20t%2B3 ALIGN=MIDDLE  ALT=\"H=-16t%5E2%2B20t%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum height is the H value of the vertex.<BR>\n" );
document.write( "The formula for finding the t value of the vertex is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-b%2F2a ALIGN=MIDDLE  ALT=\"t=-b%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a quadratic equation in this form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=at%5E2%2Bbt%2Bc ALIGN=MIDDLE  ALT=\"H=at%5E2%2Bbt%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=-16, b=20, and c=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=-20%2F%282%28-16%29%29 ALIGN=MIDDLE  ALT=\"t=-20%2F%282%28-16%29%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=20%2F32 ALIGN=MIDDLE  ALT=\"t=20%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=.625 ALIGN=MIDDLE  ALT=\"t=.625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum height H, will happen when t=.625 s.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=-16%28.625%29%5E2%2B20%28.625%29%2B3 ALIGN=MIDDLE  ALT=\"H=-16%28.625%29%5E2%2B20%28.625%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=-16%28.390625%29%2B20%28.625%29%2B3 ALIGN=MIDDLE  ALT=\"H=-16%28.390625%29%2B20%28.625%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=-6.25%2B12.5%2B3 ALIGN=MIDDLE  ALT=\"H=-6.25%2B12.5%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=9.25 ALIGN=MIDDLE  ALT=\"H=9.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Maximum height is: 9.25 ft or 9 ft 3 in<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );