document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221863>Question 221863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a projectile fired vertically nto the air (neglecting air resistance) at an initial velocity of 96 feet per second is a function of time, x, and is given by the equation f(x)=96-16x^2. Find the highest point reached by the projectile.<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 #166267 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=166267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height of a projectile fired vertically nto the air (neglecting air resistance) at an initial velocity of 96 feet per second is a function of time, x, and is given by the equation f(x)=96x-16x^2. Find the highest point reached by the projectile.\r<BR>\n" );
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document.write( "That is a quadratic equation with a = -16 and b = 96<BR>\n" );
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document.write( "The maximum height occurs when x = -b/(2a) = -96/(-32) = 3 seconds.<BR>\n" );
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document.write( "The height at that time is f(3) = 96*3-16(3)^2 = 144 ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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