Sheldon: No, no let's assume that they can. Lois Lane is falling, accelerating at an initial rate of 32ft per second, per second. Superman swoops down to save her by reaching out two arms of steel. Ms. Lane, who is now traveling at approximately 120 miles per hour, hits them, and is immediately sliced into three equal pieces.
Leonard: Unless Superman matches her speed and decelerates.
Sheldon: In what space, sir, in what space? She's two feet above the ground. Frankly, if he really loved her, he'd let her hit the pavement. It would be a more merciful death.
Superman should just fly completely under Lois, grab her and instantly match her speed, and crash through the concrete and the layers below (protecting her with his Super Bod), decelerating slowly enough that Lois is saved without harm.
Couldn't he just fly in the direction while protecting her from the ground he's currently going through? I don't think he needs to actually dig with his hands to go through anything