Question

How fast must a plane fly along the earth's equator so that the sun stands still relative to the passengers? Give your answer in both km/h and mph.The radius of the earth is 6400 km.

part A km/h
part B mph
Part C In which direction must the plane fly, east to west or west to east?
Express your answer using two significant figures.

Answer 1

17×10² km/h

10×10² mph

east to west

Step-by-step explanation:

Circumference of Earth

`2\pi r\\ =2\pi 6400000\\ =12800000\pi\ m=12800\pi km`

Speed = Distance / Time

`Speed=(12800\pi)/(24)=1675.51\ km/h`

Converting to mph

`1\ km=(1)/(1.60934)\ mi`

`1675.51\ km=1675.51* (1)/(1.60934)\ mi=1041.11\ mi`

The velocity of the plane must be 17×10² km/h or 10×10² mph

The plane must fly east to west