AP CALC PRACTICE PROBLEM

A particle moves along a line so that its velocity is given by v(t) = -t3 + 2t2 + 2-t for t ≥ 0. For what values of t is the speed of the particle increasing?
(A) (0, 0.177) and (1.256, ∞)
(B) (0, 1.256) only
(C) (0, 2.057) only
(D) (0.177, 1.256) only
(E) (0.177, 1.256) and (2.057, ∞)