document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287529>Question 287529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use a(t) = -32 ft/sec^2 as the acceleration due to gravity. (Neglect air resistance.) \r<BR>\n" );
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document.write( "A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 48 feet above the ground. \r<BR>\n" );
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document.write( "a) How many seconds after its release will the bag strike the ground? \r<BR>\n" );
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document.write( "b) At what velocity will it strike the ground? <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 #208333 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=208333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Use a(t) = -32 ft/sec^2 as the acceleration due to gravity. (Neglect air resistance.)<BR>\n" );
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document.write( "Integrate to get v(t) = -32t + 48 for the velocity<BR>\n" );
document.write( "Integrate to get s(t) = -16t^2 + 48t for the position <BR>\n" );
document.write( "A balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 48 feet above the ground.<BR>\n" );
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document.write( "a) How many seconds after its release will the bag strike the ground?<BR>\n" );
document.write( "Height is zero when it strikes the ground:<BR>\n" );
document.write( "-16t^2+46t+48 = 0<BR>\n" );
document.write( "Divide thru by -2 to get:<BR>\n" );
document.write( "8t^2 - 23t - 24 = 0<BR>\n" );
document.write( "Use the quadratic form to get<BR>\n" );
document.write( "positive solution: t = 3.69 seconds<BR>\n" );
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document.write( "b) At what velocity will it strike the ground?<BR>\n" );
document.write( "v(3.69) = -32(3.69)+48 = -70 ft/sec<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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