Find the velocity v(t) and position x(t) of a particle ofmass m that is subject to a frictional force only f =-av(retarding force or drag) proportional to the velocity.(where a are positive constants) ;(let t = )mv(t) = voe 1/t%3Dv(t) = -v̟e-t/tx(t) = xo + Vot(1+e¯t/")x(t) = xo - VoT(1 - et)Advate Wonse

Given that Drag force is f = -αV τ = mα

Find the velocity v(t) and position x(t) of a particle of mass m that is subject to a frictional force only f = -a %3D (retarding force or drag) proportional to the velocity. %3D (where a are positive constants) ;(let t =) a

Find the velocity v(t) and position x(t) of a particle of mass m that is subject to a frictional force only f = -a %3D (retarding force or drag) proportional to the velocity. %3D (where a are positive constants) ;(let t =) a

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.1P

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Question

Find the velocity v(t) and position x(t) of a particle of
mass m that is subject to a frictional force only f =-av
(retarding force or drag) proportional to the velocity.
(where a are positive constants) ;(let t = )
m
v(t) = voe 1/t
%3D
v(t) = -v̟e-t/t
x(t) = xo + Vot(1+e¯t/")
x(t) = xo - VoT(1 - et)
Advate Wonse

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