document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24191>Question 24191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mark's football is stuck in a tree. He hopes to dislodge it by standing on a small hill and throwing a baseball at it. Use the fact that a dropped object falls a distance of 4.9t2 meters in t seconds. Mark throws the baseball with an initial vertical velocity of 14.7 m/s from a height of 3m.\r<BR>\n" );
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document.write( "A. What maximum height does the baseball reach?<BR>\n" );
document.write( "B. If the football is 12m above the ground, at what time(s) could the baseball hit it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12875 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When Mark throws the baseball up, only the vertical part of the velocity he<BR>\n" );
document.write( "gives it counts, because the horizontal part just  moves the ball sideways<BR>\n" );
document.write( "14.7t is his vertical throwing velocity times the time at any point in the baseball's trajectory.<BR>\n" );
document.write( "4.9t^2 is the downward velocity due to falling (gravity)<BR>\n" );
document.write( "this is the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14.7+%2A+t+-+4.9+%2A+t%5E2+=+h+-+3 ALIGN=MIDDLE  ALT=\"14.7+%2A+t+-+4.9+%2A+t%5E2+=+h+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is the equation for vertical height in meters. Note that when h = 3,<BR>\n" );
document.write( "the height is zero, as it should be.<BR>\n" );
document.write( "plugging in 1 sec for t, I get the same answer for h that I get<BR>\n" );
document.write( "when I plug in 2 sec.<BR>\n" );
document.write( "That means that the baseball is the same height on the way up at 1 sec as it<BR>\n" );
document.write( "is on the way down in 2 sec.<BR>\n" );
document.write( "That means it reaches the max height in the middle, or 1.5 sec.<BR>\n" );
document.write( "plug 1.5 into the equation and that will give you the max height.<BR>\n" );
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