document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157115>Question 1157115</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A toy rocket is launched from the top of a building 114 feet tall at an initial velocity of 167 feet per second<BR>\n" );
document.write( "a) give the function that describes the height of the rocket in terms of time t<BR>\n" );
document.write( "b) determine the time at which the rocket reaches its maximum height, and the maximum height in feet<BR>\n" );
document.write( "c) for what time interval will the rocket be more than 122 feet above ground level<BR>\n" );
document.write( "d) after ho many seconds will it hit the ground?\r<BR>\n" );
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document.write( "the function that describes the height of the rocket in terms of t is s(t)=   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779920 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function is f(t)= -16t^2+167t+114, the first for acceleration due to gravity, the second for initial speed, the third for initial height.<BR>\n" );
document.write( "maximum height t is -b/2a or -167/-32-5.22 sec<BR>\n" );
document.write( "height is 549.76 feet using 5.22.<BR>\n" );
document.write( "set the equation = to 122<BR>\n" );
document.write( "then it becomes -16t^2+167t-8=0<BR>\n" );
document.write( "t=(-167+/- sqrt (167^2-512)/-32; sqrt term is 27377 and that equals+/- 165.46<BR>\n" );
document.write( "t=-1.54/-32 or 0.048 sec<BR>\n" );
document.write( "t=-332.46/-32 or 10.39 sec<BR>\n" );
document.write( "That interval is 10.34 sec (rounded)\r<BR>\n" );
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document.write( "hits the ground when original equation equals 0.<BR>\n" );
document.write( "t=(-167+/- sqrt (35185))/-32; -167+/-187.58=-354.58<BR>\n" );
document.write( "divide by -32 and <BR>\n" );
document.write( "t=11.08 sec\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C15%2C-50%2C600%2C-16x%5E2%2B167x%2B114%2C122%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C15%2C-50%2C600%2C-16x%5E2%2B167x%2B114%2C122%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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