# Morning n' Morning n' Morning!

**Classical Mechanics**Level 3

Right now, it's 8am in the morning.

One hour later, it's still 8am in the morning.

Five hours later, it's still 8am in the morning!

There is a maximum, and a minimum speed at which this feat can be accomplished. Find \(\frac{v_\text{max} + v_\text{min}}{2}\) in m/s, of course!

**Assumptions and Details**

- The Earth is a perfect sphere with radius 6370 km
- Your plane has a constant ground speed.