document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181660>Question 181660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A red ball and a green ball are<BR>\n" );
document.write( "simultaneously tossed into the air. The red ball is given an<BR>\n" );
document.write( "initial velocity of 96 feet per second, and its height t seconds<BR>\n" );
document.write( "after it is tossed is _16t2 _ 96t feet. The green ball<BR>\n" );
document.write( "is given an initial velocity of 80 feet per second, and its<BR>\n" );
document.write( "height t seconds after it is tossed is _16t2 _ 80t feet.\r<BR>\n" );
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document.write( "a) Find a polynomial D(t) that represents the difference in<BR>\n" );
document.write( "the heights of the two balls.\r<BR>\n" );
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document.write( "b) How much higher is the red ball 2 seconds after the<BR>\n" );
document.write( "balls are tossed?\r<BR>\n" );
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document.write( "c) In reality, when does the difference in the heights stop increasing?<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 #136298 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=136298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A red ball and a green ball are<BR>\n" );
document.write( "simultaneously tossed into the air. The red ball is given an<BR>\n" );
document.write( "initial velocity of 96 feet per second, and its height t seconds<BR>\n" );
document.write( "after it is tossed is _16t2 _ 96t feet. The green ball<BR>\n" );
document.write( "is given an initial velocity of 80 feet per second, and its<BR>\n" );
document.write( "height t seconds after it is tossed is _16t2 _ 80t feet. <BR>\n" );
document.write( "a) Find a polynomial D(t) that represents the difference in<BR>\n" );
document.write( "the heights of the two balls. <BR>\n" );
document.write( "b) How much higher is the red ball 2 seconds after the<BR>\n" );
document.write( "balls are tossed? <BR>\n" );
document.write( "c) In reality, when does the difference in the heights stop increasing?<BR>\n" );
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document.write( "It's -16t^2 + 96t, and<BR>\n" );
document.write( "-16t^2 + 80t<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "a) Find a polynomial D(t) that represents the difference in<BR>\n" );
document.write( "the heights of the two balls. <BR>\n" );
document.write( "The difference in height is the difference between the 2 equations, which is<BR>\n" );
document.write( "16t<BR>\n" );
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document.write( "b) How much higher is the red ball 2 seconds after the<BR>\n" );
document.write( "balls are tossed? <BR>\n" );
document.write( "Red: h = -16*4 + 192 = 128 feet<BR>\n" );
document.write( "Grn: h = -16*4 + 160 = 96 feet<BR>\n" );
document.write( "The difference is 32 feet, which is 16t.<BR>\n" );
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document.write( "c) In reality, when does the difference in the heights stop increasing?<BR>\n" );
document.write( "The difference increases at a rate of 16t feet/second until the first ball (the green one) hits the ground at t=5.\r<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );