Two identical stunt professionals A and B stand on the roof of building 1. Person A steps off of the roof and falls vertically onto the solid ground. At the same instant, person B steps off the roof while holding onto a rope with its opposite end is fixed to building 2 of the same height. The rope is initially horizontal, and after swinging downward almost the same vertical distance as A fell, person B collides with the solid wall of building 2.
A. Which person will sustain more serious injuries, or will both sustain injuries of the same seriousness? Explain your reasoning.

Both of the stunt professionals will sustain injuries of the same seriousness

Explanation:

We are being told that both stunt professionals are standing from the same height, therefore they will attain the same  equivalent speed at the bottom if we are to look at it from the principle of conservation of energy.

Now; According to principle of momentum; the momentum at which the first stunt professional A hits the ground be equal as the momentum with which stunt professional B will hit the wall.

Thus; both of the stunt professionals will sustain injuries of the same seriousness

you have to draw the persons position over there

im guessing the west of station b