document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364182>Question 364182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a falling object dropped form a height of  100m is described by h=100-16t2 where t is time measured in seconds. \r<BR>\n" );
document.write( "\n" );
document.write( "Find i) The velocity at t = 2 <BR>\n" );
document.write( "ii) The acceleration at t = 2 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259722 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=259722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height (as a function of time, t) of an object falling from 100 meters is described by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+100-16t%5E2 ALIGN=MIDDLE  ALT=\"h%28t%29+=+100-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i) Find the velocity at t = 2<BR>\n" );
document.write( "The velocity is the rate of change of distance with respect to time, t.<BR>\n" );
document.write( "If we take the first derivative of the height fuction, we will get the eqation for the velocity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt+=+-32t ALIGN=MIDDLE  ALT=\"dh%2Fdt+=+-32t\"   DISABLED_style= \"max-width:90%; height:auto;\" > and at t=2, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt+=+-32%282%29 ALIGN=MIDDLE  ALT=\"dh%2Fdt+=+-32%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dh%2Fdt+=+v ALIGN=MIDDLE  ALT=\"dh%2Fdt+=+v\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+-64 ALIGN=MIDDLE  ALT=\"v+=+-64\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters/second. The negative indicates a downward direction.<BR>\n" );
document.write( "ii) Find the acceleration at t = 2.<BR>\n" );
document.write( "Acceleration, which is the rate of change of velocity with respect to time, t, can be found by taking the second derivative of the height function (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+100-16t%5E2 ALIGN=MIDDLE  ALT=\"h%28t%29+=+100-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2t%2Fdt%5E2+=+d%28dh%2Fdt%29%2Fdt ALIGN=MIDDLE  ALT=\"d%5E2t%2Fdt%5E2+=+d%28dh%2Fdt%29%2Fdt\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28-32t%29%2Fdt+=+-32 ALIGN=MIDDLE  ALT=\"d%28-32t%29%2Fdt+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters/second squared.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2t%2Fdt%5E2+=+a ALIGN=MIDDLE  ALT=\"d%5E2t%2Fdt%5E2+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+-32 ALIGN=MIDDLE  ALT=\"a+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" >meters/second squared. A constant.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );