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posted by  SUJagkrista on 10/7/2009 1:40:33 PM  |  status: Live  |  Earned Karma: 50

Rectilinear Kinematics: Continuous Motion

Course Textbook Chapter Problem Needs by
N/A N/A N/A N/A 10/8/2009 at 12:00:00 PM
Question Details:

Given:

The brake mechanism used to reduce recoil in certain types of guns

consists essentially of a piston attached to the barrel and moving in a

fixed cylinder filled with oil. As the barrel recoils with an initial

velocity v0, the piston moves and oil is forced through orifices in the

piston, causing the piston and the barrel to decelerate at a rate

proportional to their velocity; that is, the acceleration a = -kv.

Find:

a) The velocity v in terms of time t.

b) The position s in terms of t.

c) The velocity v in terms of position s.
Please show steps especially for the integration. 
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posted by PhysicsPhanatic on 10/7/2009 1:57:54 PM  |  status: Live
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Response Details:
**Note: Here i will use x for the position instead of s.
(a)
(b)
(c)
swb07c
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