a particle moves along a line so that its velocity is given by $v(t)=-t^{3}+2t^{2}+2^{-t}$ for $tgeq0$. for…

a particle moves along a line so that its velocity is given by $v(t)=-t^{3}+2t^{2}+2^{-t}$ for $tgeq0$. for what values of $t$ is the speed of the particle increasing?\na $(0, 0.177)$ and $(1.256,infty)$\nb $(0, 1.256)$ only\nc $(0, 2.057)$ only\nd $(0.177, 1.256)$ only\ne $(0.177, 1.256)$ and $(2.057,infty)$

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