document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123536>Question 123536</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073268623/algebrahomeworkh>Elementary and intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Skydiving. If there were no air resistance, then the height (in feet) above the earth for a skydiver t seconds after jumping from an airplane at 10,000 feet would be given by  h(t)= -16t^2 + 10,000\r<BR>\n" );
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document.write( "a) find the time that it would take to fall to earth with no air resistance: that is, find t for which (t)= 0.A skydiveractually gets about twice as much free fall time due to air resistance.\r<BR>\n" );
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document.write( "b)Use the accompanying graph to determine whether the skydiver(with no air resistance ) falls farther in the first 5 seconds or the last 5 seconds of the fall.\r<BR>\n" );
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document.write( "c) Is the skydiver's velocity increasing or decreasing as she falls? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90618 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=90618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there were no air resistance, then the height (in feet) above the earth for a skydiver t seconds after jumping from an airplane at 10,000 feet would be given by h(t)= -16t^2 + 10,000 \r<BR>\n" );
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document.write( "a) find the time that it would take to fall to earth with no air resistance: that is, find t for which (t)= 0.A skydiveractually gets about twice as much free fall time due to air resistance. <BR>\n" );
document.write( "When on earth the height is zero.<BR>\n" );
document.write( "-16t^2+10,000=0<BR>\n" );
document.write( "-16t^2 = -10,000<BR>\n" );
document.write( "t^2 = 625<BR>\n" );
document.write( "t = 25 seconds<BR>\n" );
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document.write( "b)Use the accompanying graph to determine whether the skydiver(with no air resistance ) falls farther in the first 5 seconds or the last 5 seconds of the fall. <BR>\n" );
document.write( "Height after 5 seconds = h(5)=-16(5^2)+10000 = 9600 ft<BR>\n" );
document.write( "The skydiver falls 400 ft in the 1st 5 seconds.<BR>\n" );
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document.write( "Height after 20 seconds = h(20)=-16(20^2)+10000= 3600 ft<BR>\n" );
document.write( "Height aftrer 25 seconds is zero<BR>\n" );
document.write( "The skydiver falls 3600 ft in the last 5 seconds.<BR>\n" );
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document.write( "c) Is the skydiver's velocity increasing or decreasing as she falls?<BR>\n" );
document.write( "increasing.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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