Answer
The tangential speed of the summit of Mount Kilimanjaro is $464.1~m/s$
Work Step by Step
We can find the angular speed of the Earth as it rotates:
$\omega = \frac{2\pi~rad}{(24)(3600~s)}$
$\omega = 7.27\times 10^{-5}~rad/s$
We can find the tangential speed of the summit of Mount Kilimanjaro:
$v = \omega~r$
$v = (7.27\times 10^{-5}~rad/s)(6378~km+5.895~km)$
$v = 0.4641~km/s$
$v = 464.1~m/s$
The tangential speed of the summit of Mount Kilimanjaro is $464.1~m/s$