document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172457>Question 1172457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student throws a ball vertically up with a speed of 33 m/s.<BR>\n" );
document.write( "a.) How high will the ball rise before it goes down?<BR>\n" );
document.write( "b.) How long will the ball stay in air before landing back to his hand?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797494 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A student throws a ball vertically up with a speed of 33 m/s.<BR>\n" );
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document.write( "Using g = 9.8 m/sec/sec for gravity:<BR>\n" );
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document.write( "a.) How high will the ball rise before it goes down?<BR>\n" );
document.write( "That's the max height.<BR>\n" );
document.write( "It's the vertex of the parabola of h(t) = -gt^2/2 + 33t ---- t in seconds<BR>\n" );
document.write( "h(t) = -4.9t^2 + 33t<BR>\n" );
document.write( "Vertex is t = -b/2a = -33/-9.8<BR>\n" );
document.write( "Max height = h(33/9.8) meters<BR>\n" );
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document.write( "b.) How long will the ball stay in air before landing back to his hand?<BR>\n" );
document.write( "Time ascending = time descending<BR>\n" );
document.write( "= 2*(33/9.8)<BR>\n" );
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document.write( "If you meant to use 10 m/sec/sec for gravity to make it easier, you have to specify that. </SPAN>\n" );
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