For the one-dimensional motion, described by \(x = t - \sin t,\) the following statements are given.
(a) \(x(t)>0\) for all \(t>0\)
(b) \(v(t)>0\) for all \(t>0\)
(c) \(a(t)>0\) for all \(t>0\)
(d) \(v(t)\) lies between \(0\) and \(2\)


Choose the correct option:
1. (a), (c)
2. (b), (c)
3. (a), (d)
4. (b), (d)