document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=284087>Question 284087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this one homework question. <BR>\n" );
document.write( "A ball is thrown into the air with an initial upward velocity of 60ft/sec. Its height (h) in feet after 1 sec is given by the function h=-16t2(2= squared cant make a little 2)+60t +6          <BR>\n" );
document.write( "a: after how many seconds will the ball hit the ground?<BR>\n" );
document.write( "b: what will the height be at if t= 3 seconds<BR>\n" );
document.write( "i think for part be the answer is 42   ive plugged in 3 for t and got 42   i have no idea how to get part A </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206394 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=206394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown into the air with an initial upward velocity of 60ft/sec. Its height (h) in feet after 1 sec is given by the function h=-16t2(2= squared cant make a little 2)+60t +6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+60t+%2B+6 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+60t+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Not for 1 second, but at t seconds<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "a: after how many seconds will the ball hit the ground?<BR>\n" );
document.write( "It hits the ground when h(t) = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2+%2B+60t+%2B+6 ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2+%2B+60t+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-16t%5E2+%2B+60t+%2B+6 ALIGN=MIDDLE  ALT=\"0+=+-16t%5E2+%2B+60t+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8t%5E2+%2B+30t+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"-8t%5E2+%2B+30t+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=solve_quadratic_equation.solver>SOLVE quadratic equation (work shown, graph etc)</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in our case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%5E2%2B30x%2B3+=+0 ALIGN=MIDDLE  ALT=\"-8x%5E2%2B30x%2B3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >) has the following solutons:<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  For these solutions to exist, the <U>discriminant</U> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > should not be a negative number.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  First, we need to compute the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=%2830%29%5E2-4%2A-8%2A3=996 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=%2830%29%5E2-4%2A-8%2A3=996\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  Discriminant d=996 is greater than zero. That means that there are two solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5B12%5D+=+%28-30%2B-sqrt%28+996+%29%29%2F2%5Ca ALIGN=MIDDLE  ALT=\"+x%5B12%5D+=+%28-30%2B-sqrt%28+996+%29%29%2F2%5Ca\"   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=x%5B1%5D+=+%28-%2830%29%2Bsqrt%28+996+%29%29%2F2%5C-8+=+-0.0974667297574374 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+%28-%2830%29%2Bsqrt%28+996+%29%29%2F2%5C-8+=+-0.0974667297574374\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+%28-%2830%29-sqrt%28+996+%29%29%2F2%5C-8+=+3.84746672975744 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+%28-%2830%29-sqrt%28+996+%29%29%2F2%5C-8+=+3.84746672975744\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <BR>\n" );
document.write( "    Quadratic expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%5E2%2B30x%2B3 ALIGN=MIDDLE  ALT=\"-8x%5E2%2B30x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be factored:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%5E2%2B30x%2B3+=+%28x--0.0974667297574374%29%2A%28x-3.84746672975744%29 ALIGN=MIDDLE  ALT=\"-8x%5E2%2B30x%2B3+=+%28x--0.0974667297574374%29%2A%28x-3.84746672975744%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  Again, the answer is: -0.0974667297574374, 3.84746672975744.\n" );
document.write( "Here's your graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-8%2Ax%5E2%2B30%2Ax%2B3+%29 ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-8%2Ax%5E2%2B30%2Ax%2B3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ></TD></TR>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "\n" );
document.write( "Use the + value, ~3.847 seconds<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "b: what will the height be at if t= 3 seconds<BR>\n" );
document.write( "h(3) = -16*9 + 60*3 + 6 = -144 + 180 + 6<BR>\n" );
document.write( "h(3) = 42 feet<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "i think for part be the answer is 42 ive plugged in 3 for t and got 42 i have no idea how to get part A<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );