document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181562>Question 1181562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A volcano ejected with an initial velocity of 304 feet per second. The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds. We will use the equation that traces the path of the projectile to determine the following information: \r<BR>\n" );
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document.write( "1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)<BR>\n" );
document.write( "2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)<BR>\n" );
document.write( "3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0. <BR>\n" );
document.write( "Solve by factoring to find the time it takes the projectile to return to the ground.<BR>\n" );
document.write( "Show all work and explain all steps </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811476 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=811476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A volcano ejected with an initial velocity of 304 feet per second.<BR>\n" );
document.write( "The height in feet is given by the equation H=-16t^2+ 304t where t is the time in seconds.<BR>\n" );
document.write( " We will use the equation that traces the path of the projectile to determine the following information:\r<BR>\n" );
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document.write( "1) The time it takes the projectile to reach its maximum height (using the vertex formula: t=-b/2a)<BR>\n" );
document.write( "The equation; H = -16t^2 + 304t, a=-16;  b=304<BR>\n" );
document.write( "t  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-304%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-304%29%2F%282%2A-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t  = 9.5 sec to reach max height<BR>\n" );
document.write( "2) The maximum height of the projectile (use the result from part 1 to find the maximum height of the projectile)<BR>\n" );
document.write( "t = 9.5<BR>\n" );
document.write( "H = -16(9.5^2) + 304(9.5)<BR>\n" );
document.write( "h = = -1444 + 2888<BR>\n" );
document.write( "h = 1444 ft is the max height<BR>\n" );
document.write( "3) Find the time it takes the projectile to return to the ground. Assume that the projectile starts at height H=0.<BR>\n" );
document.write( "-16t^2 + 304t = 0<BR>\n" );
document.write( "factor out -16t<BR>\n" );
document.write( "-16t(t - 19) = 0<BR>\n" );
document.write( "t = 19 sec to reach the ground<BR>\n" );
document.write( "Solve by factoring to find the time it takes the projectile to return to the ground. </SPAN>\n" );
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