document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165049>Question 1165049</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A student throws a water balloon vertically downward from the top of a 50.0 m tall building.<BR>\n" );
document.write( "The balloon leaves the thrower's hand with a speed of 5.55 m/s. Air resistance is ignored.<BR>\n" );
document.write( "a. How far does it fall in a time of 1.70 s?<BR>\n" );
document.write( "b. What is the velocity of the balloon as it reaches the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789492 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Evaluate the height function, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h(t)\ =\ -4.9t^2\ +\ v_ot\ +\ h_o\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v_o\ =\ -5.5\text{ m/s}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h_o\"> is the height of the building.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(1.70)\ =\ -4.9(1.70)^2\ -\ 5.55(1.70)\ +\ 50\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This gives you the height at the specified time.  As long as this value is less than the height of the building, subtract the height at that time from the height of the building to determine the distance fallen.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Instantaneous velocity is the derivative of the height function evaluated at the time when the height is zero.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve the quadratic:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -4.9t^2\ -\ 5.55t\ +\ 50\ =\ 0\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to find the elapsed time when the balloon hits the ground, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_f\">.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(t)\ =\ -4.9t^2\ -\ 5.55t\ +\ 50\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{d}{dt}\,h(t)\ =\ -9.8t\ -\ 5.55\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Evaluate the derivative at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_f\">\r<BR>\n" );
document.write( "\n" );
document.write( "																<BR>\n" );
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" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );