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From: mse@iham1.UUCP (Scott Erickson)
Newsgroups: net.math
Subject: Calculus problem
Message-ID: <115@iham1.UUCP>
Date: Fri, 30-Mar-84 20:37:27 EST
Article-I.D.: iham1.115
Posted: Fri Mar 30 20:37:27 1984
Date-Received: Sat, 31-Mar-84 09:26:52 EST
Organization: AT&T Bell Labs, Naperville, IL
Lines: 30


Help!, Anyone that could provide insight to this problem, please respond
	via mail.  Disregard after April 3.  The answer is given, I need
	to know how to work the problem.  Thanks in advance.


	A body starting from rest falls under the attraction of gravity but
	encounters resistance proportional to the square of its velocity.
	Show that if the body could continue to fall indefinitely under these
	same conditions, its velocity would approach a limiting value, and
	find the distance it would fall in time t.

The answers are:

       ________
a) lim v = / mg / k

                              ________
   b)     s = (m/k) ln[cosh(t/ gk / m )]


Where:

	v = velocity
	s = distance
	m = mass
	g = acceleration due to gravity
	t = time
	k = proportionality constant