document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093601>Question 1093601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Steve races down the basketball court, then stops and shoots – HE SCORES!!! The ball travels through the air and through the basket (10 feet off the ground) according to the function<BR>\n" );
document.write( "+ 19.5t + 6.5		<BR>\n" );
document.write( "Where h represents the height of the basketball above the floor, and t represents the number of seconds that the ball was in the air. How long did it take for the ball to pass through the basket?<BR>\n" );
document.write( "The next time down the court. Steve took another shot, shooting the ball according to the same function as in part a, but since he was a few feet farther from the basket, the shot was an Air Ball (missing everything completely). How long was the ball in the air before it hit the floor?\r<BR>\n" );
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document.write( "Returning to part a, was there a time besides when the ball passed through the basket, when it was 10 feet off the floor? Presents in a graph and table, provide at least 1 analytic (algebraic) explanation.<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 #708255 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=708255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think the formula needed is<BR>\n" );
document.write( "-16t^2+19.5t+6.5=f(x)<BR>\n" );
document.write( "It passes through 10 feet on its way up and down.<BR>\n" );
document.write( "Therefore, set it equal to 10 and when 10 is subtracted from both sides<BR>\n" );
document.write( "-16t^2+19.5t-3.5=0<BR>\n" );
document.write( "t=-1/32{-19.5+/- sqrt (380.25-224)}; sqrt term is sqrt(156.25)=12.5<BR>\n" );
document.write( "t=(-1/32)(-7)=7/32 seconds This is when the ball was on its way to the basket.  <BR>\n" );
document.write( "t=(-1/32){-19.5-12.5}=1 second<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-1%2C3%2C-10%2C20%2C-16x%5E2%2B19.5x%2B6.5%2C10%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C3%2C-10%2C20%2C-16x%5E2%2B19.5x%2B6.5%2C10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "How long would the ball fly?  <BR>\n" );
document.write( "-16t^2+19.5t+6.5=0.  Here, we want the time when h(t)=0.<BR>\n" );
document.write( "t=-(1/32)(-19.5+/- sqrt(19.5^2+416); sqrt term=28.22)<BR>\n" );
document.write( "t=-(1/32)(47.72)=1.49 sec.  </SPAN>\n" );
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