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Can anyone tell me how far it is to Little Rock?

Actually, this is a musical reference from what is considered one of the first bluegrass recordings:

(furious banjo)
"Hello there, Stranger!"
"Why, hello there, Stranger!"
"Can you tell me how to get to Little Rock?"
"Can I tell you how to get to Little Rock? No - you can't get there from here."
(more furious banjo)
"Hello there, Stranger!"
"Why, hello there, Stranger!"
"Can you tell me how far it is to Little Rock?"
"Can I tell you how far it is to Little Rock? It's exactly three lengths of a fool - if you don't believe me, lay down and measure it sometime!"

I did some fruitless searching, as well. I'm pretty sure it was a variation of The Arkansas Traveler Skit.

1

Determine the inclination. This value will either be pre-defined or you can get it from a satellite ground track. A satellite in geosynchronous orbit will not reach above or below the latitudes equal to the inclination. For example, if the satellite is at 50 degrees inclination, it will only go as far as plus/minus 50 degrees latitude.

2

Calculate the semi-major axis (a). Because the period (P) is 24 hrs (86.4e3 seconds) and the gravitational constant (mu) is 3.986e5 km^3/s^2, you have enough information to use the equation:
P^2 = 4*pi^2 * (a^3/mu)
(86.4e3)^2 = 4*pi^2 * (a*3/3.986e5)
7.537e13 = a^3
a = 42,241 km

3

Determine circular orbit elements. A geosynchronous orbit is a circular orbit and some elements are common for all circular orbits. Eccentricity is an element used to describe elongation in an elliptical orbit, so for a circular orbit, e = 0. Argument of perigee is undefined in a circular orbit because only elliptical orbits have apogees and perigees. True anomaly is also undefined because it is related to perigee as well.

4

Determine the right ascension of the ascending node. This is where the satellite crosses from the southern hemisphere into the northern hemisphere. Because a geosynchronous orbit only crosses the equator at one point, that is the location of the right ascension of the ascending node. The angle is defined between the vernal equinox and the vector of nodes, but since the Earth rotates through this coordinate system, there will be a time when zero degrees longitude is aligned with the vernal equinox. This means you can use the ascending node's longitude as the right ascension. If the longitude is negative, you must add 360 degrees to convert it to a positive angle.

5

Combine all of the orbital elements to define the static orbit. Since the orbit is circular, the semi-major axis is the radius of the orbit measured from the center of the Earth.
Semi-major axis = a = 42,241 km (based on a 24 hour period)
Inclination = i = 50 degrees
Right ascension of the ascending node = 360 + (-110) = 250 degrees
eccentricity = 0
Argument of perigee is undefined
True anomaly is undefined

6

Calculate the satellite's specific mechanical energy.
sm = - mu/2a
sm = -3.986e5/(2*42241)
sm = 4.718km^2/s^2

7

Calculate the satellite's orbital velocity. For a circular orbit, the satellite's position from the center of the earth will always equal the radius of the orbit.
V = SQRT(2 * ((mu/R) + sm))
V = SQRT(2 * ((3.986e5/42241) + 4.71 cool )
V = 5.32 km/s, which is over 3 miles/sec.

It may have been a trick Q because he did say a stable geosynchronous orbit.

I remodeled a kitchen one of NASA's top mathematicians. Our nick-name for the guy was "The Bug".

Got caught can have a stable orbit if everything was truly a constant but seeing that not even the weight of the orbiting object is truly stable (dust and particles collecting on the object) all orbits have to be adjusted by factors that can only be calculated after they happen.


On to my next Q ...

What is the true origin of the word slave?

Close but those are modern dictionary definitions I was looking for the origin ... that goes back to the 9th c AD when the Muslims in what is now Spain would raid and capture the original slavia (kergonic decedents who lived in eastern Europe) and referred to them as Slavs hence the birth of the word Slave.
Side-note -- most of these were used as soldiers and not servants or basic forced labor.