document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=521058>Question 521058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation y = 0.5x - .01x^2 represents the parabolic flight of a certain cannonball shot at an angle of 26 degrees with the horizon and an initial velocity of 25 meters per second. In this equation, y is the height of the cannonball, in meters, and the x is the vertical distance traveled, in meters. \r<BR>\n" );
document.write( "\n" );
document.write( "First, Given the points (10,4) abd (40,0) lie on the parabola, at what x-coordinate must the vertex lie?<BR>\n" );
document.write( "- I figured out that it is 25 meters because y = -0.01x^2 + 0.5x. a= -0.01 and b= 0.5. The I plugged it into -b/2a and got x=25. \r<BR>\n" );
document.write( "\n" );
document.write( "Secondly, use the equation and your answer to part one to find the maximum heigth of the baseball. <BR>\n" );
document.write( "- I plugged it into the equation of y = -0.01x^2 + 0.5x. It looked like this <BR>\n" );
document.write( "  y = -0.01(25)^2 + 0.5(25)<BR>\n" );
document.write( "  y= 6.25\r<BR>\n" );
document.write( "\n" );
document.write( "Now, it says to use the point (0,0) and the location of the vertex to find the total horizontal distance that the baseball will travel. Im not sure how to find that. Could you help me?\r<BR>\n" );
document.write( "\n" );
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 #346315 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=346315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation y = 0.5x - .01x^2 represents the parabolic flight of a certain cannonball shot at an angle of 26 degrees with the horizon and an initial velocity of 25 meters per second. In this equation, y is the height of the cannonball, in meters, and the x is the vertical distance traveled, in meters. <BR>\n" );
document.write( "First, Given the points (10,4) abd (40,0) lie on the parabola, at what x-coordinate must the vertex lie?<BR>\n" );
document.write( "- I figured out that it is 25 meters because y = -0.01x^2 + 0.5x. a= -0.01 and b= 0.5. The I plugged it into -b/2a and got x=25. <BR>\n" );
document.write( "Secondly, use the equation and your answer to part one to find the maximum heigth of the baseball. <BR>\n" );
document.write( "- I plugged it into the equation of y = -0.01x^2 + 0.5x. It looked like this <BR>\n" );
document.write( "y = -0.01(25)^2 + 0.5(25)<BR>\n" );
document.write( "y= 6.25 <BR>\n" );
document.write( "Now, it says to use the point (0,0) and the location of the vertex to find the total horizontal distance that the baseball will travel. Im not sure how to find that.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If the cannonball starts at (0,0) and has gone a horizontal distance of 25<BR>\n" );
document.write( "by the time it reaches its vertex, it will go another 25 by the time<BR>\n" );
document.write( "it hits the ground.<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );