document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309841>Question 309841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP!!!<BR>\n" );
document.write( "If there were no air resistance, then the height<BR>\n" );
document.write( "(in feet) above the earth for a skydiver t seconds after<BR>\n" );
document.write( "jumping from an airplane at 10,000 feet would be given by<BR>\n" );
document.write( "h(t)16t2  10,000.<BR>\n" );
document.write( "a) Find the time that it would take to fall to earth with no<BR>\n" );
document.write( "air resistance; that is, find t for which h(t)  0. A<BR>\n" );
document.write( "skydiver actually gets about twice as much free fall<BR>\n" );
document.write( "time due to air resistance.<BR>\n" );
document.write( "b) Use the accompanying graph to determine whether the<BR>\n" );
document.write( "skydiver (with no air resistance) falls farther in the first<BR>\n" );
document.write( "5 seconds or the last 5 seconds of the fall.<BR>\n" );
document.write( "c) Is the skydiver’s velocity increasing or decreasing as<BR>\n" );
document.write( "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 #221601 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=221601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If there were no air resistance, then the height<BR>\n" );
document.write( "(in feet) above the earth for a skydiver t seconds after<BR>\n" );
document.write( "jumping from an airplane at 10,000 feet would be given by<BR>\n" );
document.write( "h(t) = 16t2 + 10,000.<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "a) Find the time that it would take to fall to earth with no<BR>\n" );
document.write( "air resistance; that is, find t for which h(t) = 0.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "-16t^2+10000 = 0<BR>\n" );
document.write( "16t^2 = 10000<BR>\n" );
document.write( "t = sqrt(10000/16)<BR>\n" );
document.write( "t = 100/4<BR>\n" );
document.write( "t = 25 seconds.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( " <BR>\n" );
document.write( "A skydiver actually gets about twice as much free fall<BR>\n" );
document.write( "time due to air resistance.<BR>\n" );
document.write( "b) Use the accompanying graph to determine whether the<BR>\n" );
document.write( "skydiver (with no air resistance) falls farther in the first<BR>\n" );
document.write( "5 seconds or the last 5 seconds of the fall.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "No graph shown.<BR>\n" );
document.write( "Find h(5 seconds) and h(20 seconds) and you should be able<BR>\n" );
document.write( "to answer the question.<BR>\n" );
document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "c) Is the skydiver’s velocity increasing or decreasing as<BR>\n" );
document.write( "she falls?<BR>\n" );
document.write( "Look at the distance covered in the 5 sec. compared to the<BR>\n" );
document.write( "distance covered in the last 5 sec.<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );