Answer
Please see the work below.
Work Step by Step
As we know that
$v=\frac{2\pi\space R_{earth}}{T}$
We plug in the known values to obtain:
$v=\frac{2\pi(6.37\times 10^6)}{24\times 60\times 60}$
$v=460\frac{m}{s}$
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