document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62899>Question 62899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> need help..The altitude in feet of a projectile t seconds after launch is given by the function s(t)=-16t^2+32t+3.  How long after launch will it take for the projectile to reach its maximum height? What is the maximum height?<BR>\n" );
document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43726 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=43726\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> s(t)=-16t^2+32t+3. How long after launch will it take for the projectile to reach its maximum height? What is the maximum height?<BR>\n" );
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document.write( "You have a quadratic with a=-16, b=32<BR>\n" );
document.write( "Since a is negative, the function has a maximum at x=-b/(2a)<BR>\n" );
document.write( "=-32/(-32)=1 second.<BR>\n" );
document.write( "The height at that time is:<BR>\n" );
document.write( "f(1)=-16+32+3=19 ft.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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