An object undergoes one-dimensional motion along the z-axis subject to the the decelerating force dv kv 1+z At time t = 0, the object's position is z = 0 and its velocity is v = t0. The decelerating force is a dv dv dz function of the object's position z(t) and velocity v(t). Using the fact that = transform the differential equation into one having z as the independent variable. Solve for v as a function of z and v0 then determine the position zf at which the object comes to rest. If the object does not come to rest then 2f = 00 (enter oo for infinity). dv dz If

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An object undergoes one-dimensional motion along the x-axis subject to the the decelerating force
dv
kv
m
dt
1+ x
At time t = 0, the object's position is x = 0 and its velocity is v = v0. The decelerating force is a
dv
dv dx
function of the object's position x(t) and velocity v(t). Using the fact that
dt
dx dt
transform the
differential equation into one having x as the independent variable. Solve for v as a function of x and vo
then determine the position xf at which the object comes to rest. If the object does not come to rest then
Xf = 0 (enter oo for infinity).
dv
dx
xf =
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Transcribed Image Text:An object undergoes one-dimensional motion along the x-axis subject to the the decelerating force dv kv m dt 1+ x At time t = 0, the object's position is x = 0 and its velocity is v = v0. The decelerating force is a dv dv dx function of the object's position x(t) and velocity v(t). Using the fact that dt dx dt transform the differential equation into one having x as the independent variable. Solve for v as a function of x and vo then determine the position xf at which the object comes to rest. If the object does not come to rest then Xf = 0 (enter oo for infinity). dv dx xf = Question Help: O Message instructor Submit Question
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