document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208652>Question 1208652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The final velocity v of an object in feet per second (noted aa ft/sec) after it slides down a frictionless inclined plane of height h feet is given by\r<BR>\n" );
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document.write( "v = sqrt{64h + (v_0)^2}, where v_0 is the initial velocity (in ft/sec) of the object.\r<BR>\n" );
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document.write( "A. Solve the given formula for h.\r<BR>\n" );
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document.write( "B. What is the final velocity v of an object that slides down a frictionless inclined plane of height 4 feet? Assume that the initial velocity is 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847038 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><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=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<BR>\n" );
document.write( "Since the h is hard to work with when it's inside a square root, we square both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E2=64h%2B%28v_0%29%5E2 ALIGN=MIDDLE  ALT=\"v%5E2=64h%2B%28v_0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Subtracting <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28v_0%29%5E2 ALIGN=MIDDLE  ALT=\"%28v_0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64h=v%5E2-%28v_0%29%5E2 ALIGN=MIDDLE  ALT=\"64h=v%5E2-%28v_0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Finally, dividing both sides by 64 gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%28v%5E2-%28v_0%29%5E2%29%2F64 ALIGN=MIDDLE  ALT=\"h=%28v%5E2-%28v_0%29%5E2%29%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "b)<BR>\n" );
document.write( "Going back to the original formula, we see that we have to plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=4 ALIGN=MIDDLE  ALT=\"h=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v_0=0 ALIGN=MIDDLE  ALT=\"v_0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the problem statement. Doing so gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=sqrt%2864%2A4%2B0%5E2%29=sqrt%28256%29=16 ALIGN=MIDDLE  ALT=\"v=sqrt%2864%2A4%2B0%5E2%29=sqrt%28256%29=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the final velocity is 16 ft/sec. </SPAN>\n" );
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