From street level, Superman spots Lois Lane in trouble-the evil villain, Lex Luthor, is dropping her from near the top of the Empire State Building. At that very instant, the Man of Steel starts upward at a constant acceleration to attempt a midair rescue of Lois.
1. Assuming she was dropped from a height of 310m and that Superman can accelerate straight upward at 13.3m/s2 , determine how far Lois falls before he catches her.
d = _____ m
2. Determine how long Superman takes to reach her.
t = _____ s
3. Determine their speeds at the instant he reaches her.
Vlouis = _____m/s