Consult Multiple-Concept Example to explore a model for solving this problem.

(a) Just for fun, a person jumps from rest from the top of a tall cliff overlooking a lake. In falling through a distance H, she acquires a certain speed v. assuming free-fall conditions, how much farther must she fall in order to acquire a speed of 2v? Express your answer in terms of H.

(b) Would the answer to part (a) be different if this event were to occur on another planet where the acceleration due to gravity had a value other than 9.80 m/s2? Explain.