The radius of Earth is 6,371 kilometers. A space shuttle orbits 315 kilometers above the surface of Earth. The space shuttle completes 240° of a revolution around Earth in one hour. What is the average speed of the space shuttle? Choose the closest answer.

Please help both with solving and answering.
(a) 14,000km/hr (b) 20,100km/hr (c)28,000km/hr (d) 63,000km/hr

shuttle from center = 6371+315 = 6686 km

circumference = 2 pi r = 42,009 km

went 240/360 of circumference = 28,006 km/hr

To find the average speed of the space shuttle, we need to use the formula:

Average Speed = Total distance traveled / Total time taken

First, let's find the total distance traveled by the space shuttle in one revolution. The space shuttle orbits 315 kilometers above the surface of the Earth, so we need to add this distance to the radius of the Earth:

Total distance = radius of the Earth + altitude of the shuttle
Total distance = 6,371 km + 315 km = 6,686 km

Now, let's find the total time taken for one revolution. The space shuttle completes 240° of a revolution in one hour. Since a full revolution is 360°, the time taken for one revolution is given by:

Total time = 1 hour

Now, we can calculate the average speed using the formula:

Average Speed = Total distance / Total time
Average Speed = 6,686 km / 1 hour
Average Speed = 6,686 km/hr

Comparing this value to the answer choices, the closest option is (c) 28,000 km/hr.

So, the average speed of the space shuttle is approximately 28,000 km/hr.