Question

How fast must a plane fly along the earth’s equator so that the sun stands still relative to the passengers? In which direction must the plane fly, east to west or west to east? Give your answer in both km/h and mph. The earth’s radius is 6400 km.

Answer 1

Answer:

1675.51608191 km/h

1041.12001312 mph

Explanation:

r = Radius of Earth = 6400 km

t = Time taken = 24 hours

Velocity is given by

$v=\dfrac{2\pi r}{t}\\\Rightarrow v=\dfrac{2\pi\times 6400}{24}\\\Rightarrow v=1675.51608191\ km/h$

Converting to mile per hour

$\dfrac{1675.51608191}{1.60934}=1041.12001312\ mph$

The speed is 1675.51608191 km/h or 1041.12001312 mph

The direction would be the opposite of the Earth's rotation

So, the direction is East to West