document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747356>Question 747356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by:\r<BR>\n" );
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document.write( "h(t) = -16t^2 + 32t + 3\r<BR>\n" );
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document.write( "How long is the ball in flight?  Round answer to nearest hundredth.\r<BR>\n" );
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document.write( "Which formula, process, etc. did you use to solve this problem?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454857 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=454857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by:\r<BR>\n" );
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document.write( "h(t) = -16t^2 + 32t + 3\r<BR>\n" );
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document.write( "How long is the ball in flight?  Round answer to nearest hundredth.\r<BR>\n" );
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document.write( "Which formula, process, etc. did you use to solve this problem?<BR>\n" );
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document.write( "The equation is a parabola with the vertex at max height.<BR>\n" );
document.write( "Find the time at max ht.<BR>\n" );
document.write( "Axis of Symmetry is t = -b/2a = -32/-32<BR>\n" );
document.write( "t = 1<BR>\n" );
document.write( "Find max ht<BR>\n" );
document.write( "h(1) = -16 + 32 + 3 = 19 feet.<BR>\n" );
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document.write( "Find the time to fall<BR>\n" );
document.write( "f(t) = -16t^2 + 19<BR>\n" );
document.write( "Find t for f(t) = 0<BR>\n" );
document.write( "-16t^2 + 19 = 0<BR>\n" );
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document.write( "t =~ 1.09 seconds<BR>\n" );
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document.write( "Total time in the air = 2.09 seconds\r<BR>\n" );
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