document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=884862>Question 884862</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The height,h,(in feet)of a baseball that is popped up into the air is a quadratic function of the time, t(in seconds) since it was hit.<BR>\n" );
document.write( "                      h=4+60t-16t^2\r<BR>\n" );
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document.write( "a)how high is the ball when it strikes the bat?<BR>\n" );
document.write( "b)in how many seconds will the ball hit the ground?<BR>\n" );
document.write( "c)at what time(s) will the ball reach a height of 40 feet?<BR>\n" );
document.write( "d)at what time(s) will the ball reach a height of 80 feet?<BR>\n" );
document.write( "e)when will the baseball reach its maximum height?<BR>\n" );
document.write( "f)what is the maximum height of the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #534726 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=534726\">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( "a) Substitute 0 for t and solve for h\r<BR>\n" );
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document.write( "b) Set the function equal to zero and solve for the positive root\r<BR>\n" );
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document.write( "c) Set the function equal to 40 and solve for both roots\r<BR>\n" );
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document.write( "d) Set the function equal to 80 and solve for both roots (hint: if the roots are complex, the ball never gets that high)\r<BR>\n" );
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document.write( "e) The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> coordinate of the vertex of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large ax^2\ +\ bx\ +\ c\"> is given by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x_v\ =\ -\frac{b}{2a}\">.  Use this fact to calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_{max}\">\r<BR>\n" );
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document.write( "f) Evaluate the function at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_{max}\">\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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