question_answer 37)

                  For the one-dimensional motion, described by                                 (a)                  for all                                 (b)                  for all                                 (c)                  for all                                 (d)                  lies between 0 and 2.                

Answer:

                  (a, d) \[x=t\sin \text{ }t\]                 \[u\,=\,\frac{dx}{dt}\,\,\,=1\,\cos \text{ }t\]                 \[\therefore \] \[x\,(t)>0\,\]for all \[\,t>0\] and \[u\,(t)\] lies between 0 and 2.