APFIVE Intervals of Increasing Speed
A particle moves along a line so that its velocity is given by $$\displaystyle v(t) = -t^3 + 2t^2 + 2^{-t}$$ for $$t \geq 0$$. For what values of $$t$$ is the speed of the particle increasing?
A
(0, 2.057) only
B
(0, 0.177) and (1.256, ∞)
C
(0.177, 1.256) and (2.057, ∞)
D
(0, 1.256) only
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