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
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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