document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159369>Question 159369</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321458206/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have tried this problem multiple times. Maybe I am overthiking it.\r<BR>\n" );
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document.write( "Find the domain and range of the function that describes the height of a ball dropped from a 500-foot building.\r<BR>\n" );
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document.write( "Domain = set of values between & including 0-? seconds.<BR>\n" );
document.write( "Range = height of building so it would be 500 feet, right?\r<BR>\n" );
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document.write( "forumula: h=-1/2 gs^2+v0S+h0\r<BR>\n" );
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document.write( "Now I get stuck.\r<BR>\n" );
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document.write( "Any help is appreciated.<BR>\n" );
document.write( "Thanks<BR>\n" );
document.write( "Jan </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117486 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain and range of the function that describes the height of a ball dropped from a 500-foot building. <BR>\n" );
document.write( "Domain = set of values between & including 0-? seconds.<BR>\n" );
document.write( "Range = height of building so it would be 500 feet, right? <BR>\n" );
document.write( "forumula: h(s)=-1/2 gs^2+v0S+h0 <BR>\n" );
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document.write( "h(s) = -(1/2)(32)s^2 + vos + ho<BR>\n" );
document.write( "h(s) = -16s^2 + vos + ho<BR>\n" );
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document.write( "If it is merely dropped, vo = 0<BR>\n" );
document.write( "If the beginning height (ho) is 500 ft, ho = 500<BR>\n" );
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document.write( "h(s) = -16s^2 + 500<BR>\n" );
document.write( "When it hits the ground, h(s) = 0 ft.<BR>\n" );
document.write( "-16s^2 + 500 = 0 ft<BR>\n" );
document.write( "16s^2 = 500<BR>\n" );
document.write( "s^2 = 500/16<BR>\n" );
document.write( "s = 10sqrt(5)/4 =5.59017... seconds<BR>\n" );
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document.write( "Domain: 0 <= s <= 5.59017..<BR>\n" );
document.write( "Range: 0 <= h <= 500<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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