document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192237>Question 1192237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The algebraic expression  -  16t2 + 75t represents the height (in feet) of a golf ball hit at an angle of 30 degrees to the horizontal after t seconds. Evaluate the expression for t = 0, 1, 2, 3, and 4 seconds and then describe what happens to the golf ball as time passes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824143 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824143\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the following graph shows what happens.<BR>\n" );
document.write( "in the graph, y represents the height of the ball and x represents the number of seconds from launch.\r<BR>\n" );
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document.write( "the ball will rise until it reaches a peak at 2.34 seconds and then it will start falling back to earth again.\r<BR>\n" );
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document.write( "the graph coordinates are in (x,y) format.<BR>\n" );
document.write( "x is the number of seconds since launch.<BR>\n" );
document.write( "y is the height.\r<BR>\n" );
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document.write( "for example, after 4 seconds, the height of the ball is 44 feet.\r<BR>\n" );
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document.write( "what you are looking at is a quadratic equation,  with all the properties of a quadratic equation.\r<BR>\n" );
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document.write( "the standard form of a quadratic equation is y = ax^2 + bx + c<BR>\n" );
document.write( "a is the coefficient of the x^2 term.<BR>\n" );
document.write( "b is the coefficient of the x term.<BR>\n" );
document.write( "c is the constant term.<BR>\n" );
document.write( "the maximum height is at x = -b/(2a) = -75/(2*-16) = 2.34375.<BR>\n" );
document.write( "when x = that, y = -16*x^2 + 75x = 87.890625.<BR>\n" );
document.write( "the graph coordinates are rounded to 3 decimal digits.\r<BR>\n" );
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