A particle executes the motion described by x(t) = x_{o}(1 - e^{-γt}); t ≥ 0, x_{0} > O.

(a) Where does the particle start and with what velocity?

(b) Find maximum and minimum values of x (t), v (t), a (t). Show that x (t) and a (t) increase with time and v (t) decreases with time.