document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696357>Question 696357</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Use the verticle height formula to solve the following h= -16t^ + intitial velocity + initial height. A person throws a ball in the air with an initial height of 4 feet and an initial velocity of 40 feet per second. The person catches the ball when it is 3 feet from the ground. how much time is the ball in the air? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429240 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=429240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Use the vertical height formula to solve the following h= -16t^ + initial velocity + initial height.<BR>\n" );
document.write( " A person throws a ball in the air with an initial height of 4 feet and an initial velocity of 40 feet per second. <BR>\n" );
document.write( "The person catches the ball when it is 3 feet from the ground.<BR>\n" );
document.write( " how much time is the ball in the air?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The equation for this situation:<BR>\n" );
document.write( "-16t^2 + 40t + 4 = 3<BR>\n" );
document.write( "-16t^2 + 40t + 4 - 3 = 0<BR>\n" );
document.write( "-16t^2 + 40t + 1 = 0<BR>\n" );
document.write( "Use the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. where<BR>\n" );
document.write( "x = t; a = -16; b = 40; c = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-40+%2B-+sqrt%2840%5E2-4%2A-16%2A1+%29%29%2F%282%2A-16%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-40+%2B-+sqrt%2840%5E2-4%2A-16%2A1+%29%29%2F%282%2A-16%29+\"   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+=+%28-40+%2B-+sqrt%281600%5E2+%2B+64+%29%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-40+%2B-+sqrt%281600%5E2+%2B+64+%29%29%2F%28-32%29+\"   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+=+%28-40+%2B-+sqrt%281664+%29%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-40+%2B-+sqrt%281664+%29%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-40+%2B+40.79%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-40+%2B+40.79%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B.79%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28%2B.79%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = -.024755; not a reasonable solution<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28-40+-+40.79%29%2F%28-32%29+ ALIGN=MIDDLE  ALT=\"t+=+%28-40+-+40.79%29%2F%28-32%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-80.79%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-80.79%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = +2.52 seconds is the time it is in the air and caught\r<BR>\n" );
document.write( "\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );