document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455237>Question 455237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with this problem:\r<BR>\n" );
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document.write( "An object is tossed into the air with the upward velocity of 22 feet per second from the top of a 10-foot wall. Its flight is governed by h(t)=16t^2-22t-10=0. What is the time for the object to reach the highest point, and what is the altitude of this highest point?\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312562 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=312562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An object is tossed into the air with the upward velocity of 22 feet per second from the top of a 10-foot wall. Its flight is governed by h(t)=16t^2-22t-10=0. What is the time for the object to reach the highest point, and what is the altitude of this highest point? <BR>\n" );
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document.write( "h(t)=16t^2-22t-10 = 0<BR>\n" );
document.write( "If it equals 0, there's not much solving to do.<BR>\n" );
document.write( "h(t)=16t^2-22t-10<BR>\n" );
document.write( "That's a parabola that opens upward.  h increases without limit with increasing time.  There would be no highest point.<BR>\n" );
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document.write( "Use h(t)= -16t^2 + 22t + 10, -1 times the orginal.<BR>\n" );
document.write( "h(t)= -16t^2 + 22t + 10<BR>\n" );
document.write( "The vertex is on the line of symmetry.<BR>\n" );
document.write( "The LOS is t = -b/2a<BR>\n" );
document.write( "t = -22/-32 = 11/16 seconds, the time at apogee, the highest point.<BR>\n" );
document.write( "h(11/16) = -16*(11/16)^2 + 22*(11/16) + 10<BR>\n" );
document.write( "= -121/16 + 121/8 + 10<BR>\n" );
document.write( "= 281/16 feet<BR>\n" );
document.write( "= 17.5625 ft<BR>\n" );
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