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

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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
Transcribed Image Text: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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