document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211035>Question 211035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example, but you may not use that example. Be sure to reference all sources using APA style.\r<BR>\n" );
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document.write( "Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.\r<BR>\n" );
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document.write( "When thrown into the air from the top of a 50 ft building, a ball’s height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.\r<BR>\n" );
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document.write( "I used this. I wanted to know if I was correct.\r<BR>\n" );
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document.write( "Real life quadratic function application:\r<BR>\n" );
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document.write( "The formula s=-16t^2+vOt+sO\r<BR>\n" );
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document.write( "sO=initial height<BR>\n" );
document.write( "vO=velocity in feet per second<BR>\n" );
document.write( "t=time\r<BR>\n" );
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document.write( "The initial height of the mountain where you are standing is 300 feet.\r<BR>\n" );
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document.write( "I launch a rock in the air at 52 feet per second. <BR>\n" );
document.write( "I want to find out how high it will be after 3 seconds. \r<BR>\n" );
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document.write( "Now let’s do the formula. <BR>\n" );
document.write( "s=-16t^2+vOt+sO<BR>\n" );
document.write( "=-16(3) ^2+52(3) +300<BR>\n" );
document.write( "=-16(9) +156+300<BR>\n" );
document.write( "=-144+465<BR>\n" );
document.write( "s=312\r<BR>\n" );
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document.write( "So at 3 seconds, it's 312\r<BR>\n" );
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document.write( "This accurately describes the rock's height at any given time from the time of launch to the time.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159419 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=159419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good work.<BR>\n" );
document.write( "You will find other examples by using Google to search for quadratic <BR>\n" );
document.write( "applications.<BR>\n" );
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document.write( "Also, the formula does not give the height at \"all times\": only for the<BR>\n" );
document.write( "times the ball is in the air or the instant it reaches the ground.<BR>\n" );
document.write( "After that the answers will be negative and therefore not applicable.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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