  The variational problem of the least uncomfortable journey between two
locations on a straight line is simplified by a choice of the dependent
variable. It is shown that taking the position, instead of the velocity, as the
optimal function of time to be determined does away with the isoperimetric
constraint. The same results as those found with the velocity as the dependent
variable are obtained in a simpler and more concise way. Next the problem is
generalized for motion on an arbitrary curve. In the case of
acceleration-induced discomfort, it is shown that, as expected, motion on a
curved path is always more uncomfortable than motion on a straight line. It is
not clear that this is necessarily the case for jerk-induced discomfort, which
appears to indicate that the acceleration provides a more reasonable measure of
the discomfort than the jerk. The example of motion on a circular path is
studied. Although we have been unable to solve the problem analytically,
approximate solutions have been constructed by means of trial functions and the
exact solution has been found numerically for some choices of the relevant
parameters.
