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# From street level, Superman spots Lois Lane in trouble—the evil villain, Lex Luthor, is dropping her from near?

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.

Assuming she was dropped from a height of 290 m and that Superman can accelerate straight upward at 13.0 m/s^2, determine how far Lois falls before he catches her.

d = ____ m

Determine how long Superman takes to reach her.

t = _____ s

Determine their speeds at the instant he reaches her.

v(Louis) = ________ m/s

v (superman) = ________ m/s

### 2 Answers

- AmyLv 79 years agoFavorite Answer
Lois accelerates downwards at 9.8 m/s, while Superman accelerates upwards at 13 m/s.

Since they both start with speed 0, at any time t they have covered distances of 4.9t^2 and 6.5t^2.

That means for every 4.9 feet Lois falls, Superman rises 6.5 feet. She falls 4.9/(4.9+6.5) = 43% of the total distance while he rises 57% of the distance.

Knowing the distance, use d = 1/2 a t^2 to figure out the time. You can use either character's distance and acceleration.

Then use v = at to figure out their speeds.

Source(s): Sheldon: "Superman swoops down to save her by reaching out two "arms of steel" ... Miss Lane, who is now traveling at approximately 120 miles an hour, hits them and is immediately sliced into three equal pieces. Frankly, if he really loved her, he'd let her hit the pavement." -Big Bang Theory - Anonymous5 years ago
I think it depends