document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150358>Question 150358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Height difference <BR>\n" );
document.write( "A red ball and 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 -16t^2+p6ft. The green ball is given an initial velocity of 80 feet per second and its height t seconds after it is tossed is -16t^2 + 80 ft<BR>\n" );
document.write( "a. find the polynomial that represents the difference in the heights of the two balls.<BR>\n" );
document.write( "b. how much higher is the red ball 2 seconds after the ball is 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 #110342 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=110342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A red ball and 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 -16t^2+p6ft. The green ball is given an initial velocity of 80 feet per second and its height t seconds after it is tossed is -16t^2 + 80 ft<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. find the polynomial that represents the difference in the heights of the two balls.<BR>\n" );
document.write( "Difference = D(t)<BR>\n" );
document.write( "D(t) = (-16t^2 + 96t) - (-16t^2 + 80t)<BR>\n" );
document.write( "D(t) = -16t^2 + 96t + 16t^2 - 80t<BR>\n" );
document.write( "D(t) = 16t<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. how much higher is the red ball 2 seconds after the ball is tossed?<BR>\n" );
document.write( "D(t) = 16(2)<BR>\n" );
document.write( "D(t) = 32 ft<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( "After 5 sec, the green ball hits the ground: h(t)= -16(25) + 80(5) = 0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );