document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199824>Question 199824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A red ball and a green ball are simultaneously tossed into the air. 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. 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150227 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150227\">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,<BR>\n" );
document.write( " 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,<BR>\n" );
document.write( " and its height t seconds after it is tossed is 16t2 + 80t feet.<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( ";<BR>\n" );
document.write( "D(t) = red ball ht - green ball ht<BR>\n" );
document.write( "D(t) = (-16t^2 + 96t) - (-16t^2 + 80t)<BR>\n" );
document.write( "Remove brackets<BR>\n" );
document.write( "D(t) = -16t^2 + 96t + 16t^2 - 80t<BR>\n" );
document.write( "the t^2's cancel<BR>\n" );
document.write( "D(t) = 96t - 80t<BR>\n" );
document.write( "D(t) = 16t<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<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( ":Substitute 2 for t in the above<BR>\n" );
document.write( "D(t) = 16(2)<BR>\n" );
document.write( "D(t) = 32 ft<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) In reality, when does the difference in the heights stop increasing?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A graph of this will make it easy to see<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+8%2C+-20%2C+140%2C+-16x%5E2%2B96x%2C+-16x%5E2%2B80x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+8%2C+-20%2C+140%2C+-16x%5E2%2B96x%2C+-16x%5E2%2B80x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 5 sec when the green ball strikes the ground </SPAN>\n" );
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