document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274955>Question 274955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an arrow is shot vertically upward with an initial velocity of 49 m/s, the height in metres reached in t seconds can be found the equation h=49t-4.9tsquared.  Find the maximum height reached by the arrow. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200635 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=200635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If an arrow is shot vertically upward with an initial velocity of 49 m/s, the height in metres reached in t seconds can be found the equation h=49t-4.9tsquared. Find the maximum height reached by the arrow.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+49t+-+4.9t%5E2 ALIGN=MIDDLE  ALT=\"h%28t%29+=+49t+-+4.9t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When there's no 3rd term, the easiest way to do these is to find the time at apogee, which is 1/2 the total time.<BR>\n" );
document.write( "Find the times when h= 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4.9t%5E2+%2B+49t+=+0 ALIGN=MIDDLE  ALT=\"-4.9t%5E2+%2B+49t+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 0 (at the start)<BR>\n" );
document.write( "t = 10 (at impact)<BR>\n" );
document.write( "The midpoint is the apogee, at t = 5 seconds<BR>\n" );
document.write( "h(5) = 49*5 - 4.9*25<BR>\n" );
document.write( "h max = 122.5 meters<BR>\n" );
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document.write( "If the 3rd term is not zero(0), then find the vertex at t = -b/2a<BR>\n" );
document.write( "t = -49/-9.8 = 5 seconds<BR>\n" );
document.write( "same result<BR>\n" );
document.write( " </SPAN>\n" );
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