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 #136311 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A red ball and a green ball are simultaneously tossed into the air. <BR>\n" );
document.write( "The red ball is given an initial velocity of 96 feet per second, and its height t seconds after it is tossed is -16t2 + 96t feet. <BR>\n" );
document.write( "The green ball 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" );
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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.<BR>\n" );
document.write( "D(t) = red - blue = 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( "D(2) = 16*2 = 32 ft.<BR>\n" );
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document.write( "c) In reality, when does the difference in the heights stop increasing?<BR>\n" );
document.write( "When the height of the blue ball reaches zero.<BR>\n" );
document.write( "h(t) = -16t^2 + 80t = 0<BR>\n" );
document.write( "-16t(t-5) = 0<BR>\n" );
document.write( "t = 5 seconds<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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