document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177200>Question 1177200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown vertically downward from the top of a building, leaving the thrower’s hand with a velocity <BR>\n" );
document.write( "of 30 ft/s.<BR>\n" );
document.write( "(a) What will be its velocity after falling for 2 sec? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805563 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your units are feet and seconds, so distance in feet, time in seconds, the magnitude of velocity is feet per second, and magnitude of the acceleration is feet per second per second.\r<BR>\n" );
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document.write( "The presumption here is that the building in the story is on the surface of planet Earth where the acceleration due to gravity is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large g\ =\ -32\text{ft/sec^2}\"> and motion downward, i.e. toward the center of the earth, is indicated by negative acceleration and velocity magnitudes.\r<BR>\n" );
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document.write( "The height as a function of time for an object traveling vertically with respect to the earth's surface is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  h(t)\ =\ \frac{1}{2}gt^2\ +\ v_ot\ +\ h_o\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large g\"> is the acceleration due to the force of gravity, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v_o\"> is the initial velocity magnitude (recall that the velocity magnitude must be a negative quantity for an object thrown downward), and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h_o\"> is the initial height.\r<BR>\n" );
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document.write( "The instantaneous velocity as a function of time for this situation is the first derivative of the height function, namely:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ v_i\ =\ \frac{dh}{dt}\|_{t\,=\,t_i}\ =\ -32t_i\ +\ v_o\">\r<BR>\n" );
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document.write( "So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ v_2\ =\ \frac{dh}{dt}\|_{t\,=\ 2}\ =\ -32(2)\ -\ 30\ \text{ft/sec}\">\r<BR>\n" );
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document.write( "You can do your own arithmetic.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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