Answer
.248 seconds
Work Step by Step
We know the following equation:
$\frac{1}{2}=e^{\frac{-bt}{2m}}$
Plugging in the value for $b/2m$ and simplifying gives:
$\frac{1}{2}=e^{-2.8t} \\ t = \frac{ln(.5)}{-2.8}=\fbox{.248 seconds}$
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