Question

Consider an object of mass “m” launched from the surface of the Earth at exactly the

escape velocity.

Show that the objects position r (its distance from the center of the

Earth) is given by r^3/2 - R^3/2 = (3/2)Sqrt(GM)t

“t” is the time elapsed since launch, “R” is the Earth’s radius, and “M” is the mass of the Earth

Answer 1

Answer: The required relation is given below:

                               

Explanation: