document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691053>Question 691053</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could you please help me with this question? how long does it take a ball to reach maximum height with the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-16t%5E2%2B64t%2B30 ALIGN=MIDDLE  ALT=\"h=-16t%5E2%2B64t%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" > where h= height and t=seconds </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426555 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=426555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how long does it take a ball to reach maximum height with the formula h=-16t^2+24t+30 where h= height and t=seconds<BR>\n" );
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document.write( "The max height occurs at the axis of symmetry which we can find with the formula x = -b/(2a)<BR>\n" );
document.write( "In this equatio<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-24%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-24%29%2F%282%2A-16%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=%28-24%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-24%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = +.75 seconds to reach max height<BR>\n" );
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document.write( "To find max height, replace t with .75<BR>\n" );
document.write( "h = -16(.75^2) + 24(.75) + 30<BR>\n" );
document.write( "h = -16(.5625) + 18 + 30<BR>\n" );
document.write( "h = -9 + 18 + 30<BR>\n" );
document.write( "h = 39 ft is max height occurring .75 seconds after launch<BR>\n" );
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document.write( "Here is a graph of that equation, showing this very clearly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+3%2C+-10%2C+50%2C+-16x%5E2%2B24x%2B30%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+3%2C+-10%2C+50%2C+-16x%5E2%2B24x%2B30%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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