Provide me the accurate answer of the given problem
Problem- What is the largest asteroid from which you could escape by jumping vertically upward? Assume spherical geometry and a uniform density equal to the Earths average density. On Earth, assume you can jump 22 inches off the ground in an unassisted, vertical jump.
HINT: First find the initial speed you are able to jump with on Earth, and then assume you will jump from the asteroid with that same speed.
I need experts help to find the right solution of the above problem and First find the initial speed you are able to jump with on Earth, and then assume you will jump from the asteroid with that same speed.