document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214069>Question 214069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am having a hard time figuring what formula or equation needs to be applied to this problem. There's a slope graph. (0,96) (2.5,196) \r<BR>\n" );
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document.write( "Not sure if this is considered quadratic or just a simple word problem that need to be converted into an equation.\r<BR>\n" );
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document.write( "The graph below shows the height in feet, of a ball thrown straight up with an initial speed of 80 feet per second from an initial height of 96 feet after t seconds. Use the graph to answer the following questions. <BR>\n" );
document.write( "a) What is the height of the ball at 1.5 seconds?<BR>\n" );
document.write( "b) What is the maximum height of the ball and at what time does it occur?<BR>\n" );
document.write( "c) Find the H intercept of the graph and explain what is happening to the ball at that point.<BR>\n" );
document.write( "d) Find the T intercept of the graph and explain what is happening to the ball at that point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161705 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=161705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph below shows the height in feet, of a ball thrown straight up with an initial speed of 80 feet per second from an initial height of 96 feet after t seconds. Use the graph to answer the following questions.<BR>\n" );
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document.write( "Perhaps we can construct the graph from the equation: h = -16t^2 + 80t + 96<BR>\n" );
document.write( "-16t^2 is the downward pull of gravity<BR>\n" );
document.write( "80t is the upward velocity of the ball<BR>\n" );
document.write( "96 is initial height <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-50%2C+250%2C+-16x%5E2%2B80x%2B96%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-50%2C+250%2C+-16x%5E2%2B80x%2B96%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a) What is the height of the ball at 1.5 seconds?<BR>\n" );
document.write( "The graph indicates it to be about 180 ft<BR>\n" );
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document.write( "b) What is the maximum height of the ball and at what time does it occur?<BR>\n" );
document.write( "Looks like this occurs at 2.5 sec when the ball is at 196 ft<BR>\n" );
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document.write( "c) Find the H intercept of the graph and explain what is happening to the ball at that point.<BR>\n" );
document.write( "H intercept is on the y axis, occurs when x = 0, that would be 96 ft<BR>\n" );
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document.write( "d) Find the T intercept of the graph and explain what is happening to the ball at that point.<BR>\n" );
document.write( "T is on the x axis, intercept when y = 0, looks like at 6 secs when it hits the ground<BR>\n" );
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document.write( "it is a quadratic equation </SPAN>\n" );
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