document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524957>Question 524957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distance in feet that an object falls in a vacuum is given by <BR>\n" );
document.write( "s(t)= 16t^2, where t represents the time in seconds. a) Find :\r<BR>\n" );
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document.write( "s(2+h) - s(2)/h ? \r<BR>\n" );
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document.write( "b) what happens when h tends to 0 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347979 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=347979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance in feet that an object falls in a vacuum is given by <BR>\n" );
document.write( "s(t)= 16t^2, where t represents the time in seconds. \r<BR>\n" );
document.write( "\n" );
document.write( "a) Find<BR>\n" );
document.write( "s(2+h) - s(2)/h<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%282%2Bh%29%5E2+-+16%2A2%5E2%29%2Fh ALIGN=MIDDLE  ALT=\"%2816%282%2Bh%29%5E2+-+16%2A2%5E2%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A%284+%2B+4h+%2B+h%5E2+-+4%29%2Fh ALIGN=MIDDLE  ALT=\"16%2A%284+%2B+4h+%2B+h%5E2+-+4%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A%284h+%2B+h%5E2%29%2Fh ALIGN=MIDDLE  ALT=\"16%2A%284h+%2B+h%5E2%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A%284+%2B+h%29 ALIGN=MIDDLE  ALT=\"16%2A%284+%2B+h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 64 + 16h<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "b) what happens when h tends to 0 ?<BR>\n" );
document.write( "s(2+h) - s(2)/h approaches 64<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );