document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919169>Question 919169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=&#8722;4.9t2+160t+290. \r<BR>\n" );
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document.write( "Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? \r<BR>\n" );
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document.write( "The rocket splashes down after ________ seconds. \r<BR>\n" );
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document.write( "How high above sea-level does the rocket get at its peak? \r<BR>\n" );
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document.write( "The rocket peaks at __________ meters above sea-level. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557506 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=557506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by <BR>\n" );
document.write( "h(t)=&#8722;4.9t2+160t+290.<BR>\n" );
document.write( " Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?<BR>\n" );
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document.write( "Solve:: -4.9t^2 + 160t + 290 = 0<BR>\n" );
document.write( "t = [-160 +- sqrt(160^2 - 4*-4.9*290)]/(2*-4.9)<BR>\n" );
document.write( "Positive Solution::<BR>\n" );
document.write( "t = 34.37 seconds<BR>\n" );
document.write( " The rocket splashes down after 34.37 seconds.<BR>\n" );
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document.write( "How high above sea-level does the rocket get at its peak?<BR>\n" );
document.write( "Max occurs when t = -b/(2a) = -160/(2*-4.9) = 16.33<BR>\n" );
document.write( "f(16.33) = -4.9(16.33)^2 + 160(16.33) + 290 = 1696.1 meters <BR>\n" );
document.write( "The rocket peaks at 1696.1 meters above sea-level.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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