document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090546>Question 1090546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jacqueline threw a ball from 1 m above the ground. The ball reached a maximum height of 46 m at 3 seconds.<BR>\n" );
document.write( " a)   Determine the equation that will model the parabola for this situation.<BR>\n" );
document.write( " b)   How long does it take until the ball hits the ground </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704987 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jacqueline threw a ball from 1 m above the ground.<BR>\n" );
document.write( " The ball reached a maximum height of 46 m at 3 seconds.<BR>\n" );
document.write( ":<BR>\n" );
document.write( " a) Determine the equation that will model the parabola for this situation.<BR>\n" );
document.write( " Using the equation where f(t) = the height in t seconds at a v velocity m/sec<BR>\n" );
document.write( "f(t) = -4.9t^2 + vt + 1<BR>\n" );
document.write( "replace f(t) with 46 and t with 3 sec, find the initial velocity (v)<BR>\n" );
document.write( "-4.9(3^2) + 3v + 1 = 46<BR>\n" );
document.write( "-4.9(9) + 3v = 46 - 1<BR>\n" );
document.write( "-44.1 + 3v = 45<BR>\n" );
document.write( "3v = 45 + 44.1<BR>\n" );
document.write( "v = 89.1/3<BR>\n" );
document.write( "v = 29.7 m/sec is the initial upward velocity<BR>\n" );
document.write( "The equation: f(t) = -4.9t^2 + 29.7t + 1 <BR>\n" );
document.write( "Looks like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+10%2C+-10%2C+55%2C+-4.9x%5E2%2B29.7x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-10%2C+55%2C+-4.9x%5E2%2B29.7x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " b) How long does it take until the ball hits the ground <BR>\n" );
document.write( "then f(t) = 0<BR>\n" );
document.write( "-4.9t^2 + 29.1t + 1 = 0 <BR>\n" );
document.write( "Use the quadratic formula; a=-4.9; b=29.7; c=1<BR>\n" );
document.write( "I got a positive solution of <BR>\n" );
document.write( "t = 6.0947 sec to his the ground </SPAN>\n" );
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