document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127208>Question 1127208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the Velocity of an object after it has fallen 20 feet </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743568 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the Velocity of an object after it has fallen <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet\r<BR>\n" );
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document.write( "The formula for a falling object is:\r<BR>\n" );
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document.write( "Consider a body of mass m, acted on by a force F for time t. This produces an acceleration which we will designate with the letter g. The body has an initial velocity u, and after time t, it reaches a velocity v. It also travels a distance s.\r<BR>\n" );
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document.write( "where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u ALIGN=MIDDLE  ALT=\"u\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  initial velocity (=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a falling object)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+ ALIGN=MIDDLE  ALT=\"g+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=  acceleration due to gravity, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32.2%28+ft%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"32.2%28+ft%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32.2%28+ft%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"32.2%28+ft%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for English units, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.8%28+m%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"9.8%28+m%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for SI units)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time, in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >=distance that body travels\r<BR>\n" );
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document.write( "Newton's equations of motion allow us to work out any of these parameters once we know three other parameters. So the three formulas are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+u+%2B+gt%0D%0A%0D%0A%7B%7B%7Bs=+ut+%2B+%281%2F2gt%5E2 ALIGN=MIDDLE  ALT=\"v+=+u+%2B+gt%0D%0A%0D%0A%7B%7B%7Bs=+ut+%2B+%281%2F2gt%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2+=+u%5E2+%2B+2gs ALIGN=MIDDLE  ALT=\"v%5E2+=+u%5E2+%2B+2gs\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In terms of distance fallen,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2+=+u%5E2+%2B+2gh ALIGN=MIDDLE  ALT=\"v%5E2+=+u%5E2+%2B+2gh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=s ALIGN=MIDDLE  ALT=\"h=s\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  distance fallen, ft.\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+20ft ALIGN=MIDDLE  ALT=\"h+=+20ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u+=+0 ALIGN=MIDDLE  ALT=\"u+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2+=+2%2A32.2%28ft%2Fs%5E2%29%2A20ft ALIGN=MIDDLE  ALT=\"v%5E2+=+2%2A32.2%28ft%2Fs%5E2%29%2A20ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+v%5E2=++1288%28ft%5E2%2Fs%5E2%29 ALIGN=MIDDLE  ALT=\"+v%5E2=++1288%28ft%5E2%2Fs%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=+sqrt%28+1288%28ft%5E2%2Fs%5E2%29%29 ALIGN=MIDDLE  ALT=\"v=+sqrt%28+1288%28ft%5E2%2Fs%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+35.89%28+ft%2Fs%29 ALIGN=MIDDLE  ALT=\"v+=+35.89%28+ft%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35.89+%28ft%2Fs%29 ALIGN=MIDDLE  ALT=\"35.89+%28ft%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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