What is the minimum speed you need to impart to a body near the surface of the earth

What is the minimum speed you need to impart to a body near the surface of the earth in order for it to get out of a potential hole?

The formula for determining the minimum speed (the so-called first cosmic speed) is:

v = √ (g * R), where g is the acceleration of gravity, R is the distance to the center of the Earth. Since g = 9.8 m / s ^ 2, and R = 6371 kilometers = 6371000 meters, we get:

v = √ (9.8 * 6371000) = √ (62435800) = 7901 m / s = 7.9 km / s.

Answer: the body must be told a minimum speed of 7.9 km / s.