document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006449>Question 1006449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word problem.<BR>\n" );
document.write( "If an object is projected from a height of 48 ft with an initial velocity of 32 ft per sec, its height h in feet after t seconds is given by:\r<BR>\n" );
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document.write( "h=-16t^2 +32t +48 \r<BR>\n" );
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document.write( "a.)After how many seconds is the height 60 ft? \r<BR>\n" );
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document.write( "b.) After how many seconds does the object hit the ground? (hint: when the object hits the ground, h=0) \r<BR>\n" );
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document.write( "Thank you so much! <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 #622571 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two answers to height=60 feet unless it is the maximum.<BR>\n" );
document.write( "-16t^2+32t+48=60<BR>\n" );
document.write( "rewrite, subtracting 60 and changing all signs.<BR>\n" );
document.write( "16t^2-32t+12=0<BR>\n" );
document.write( "4t^2-8t+3=0<BR>\n" );
document.write( "(2t-3)(t-1)=0<BR>\n" );
document.write( "t=1/2 sec, 3/2 sec., it will be at height 60 feet.<BR>\n" );
document.write( "-16t^2+32t+48=0<BR>\n" );
document.write( "factor out a -16<BR>\n" );
document.write( "t^2-2t-3=0<BR>\n" );
document.write( "(t-3)(t+1)=0<BR>\n" );
document.write( "t=3 seconds only sensible root.<BR>\n" );
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