From street level, superman spots Lois Lane in trouble as theevil villain, Lex Luthor, drops her from near the?

From street level, superman spots Lois Lane in trouble as theevil villain, Lex Luthor, drops her from near the top of the EmpireState Building. At that very instant, the Man of Steel startsupward at a constant acceleration to attempt a midair rescue ofLois. Assuming she was dropped at a height of 300 m and thatsuperman can accelerate straight upward at 15 m/s2,determine how far lois falls before he catches her.

Relevance
• Tim G
Lv 4
9 years ago

Lois Lane's distance from the top:

d = d0 + (1/2)at²

d = (1/2)gt²

d = (1/2)(9.8)t²

= 4.9t² Equation A

As expected, Lois Lane's distance from the top grows with time.

Superman's distance from the top:

d = d0 + (1/2)at²

d = 300 -(1/2)(15)t²

= 300 -7.5t² Equation B

As expected, Superman's distance from the top shrinks with time.

Set Equation A equal to Equation B and solve for t²

4.9t² = 300 -7.5t²

12.4t² = 300

t² = 300 / 12.4

t² = 24.19

Substitute t² = 24.19 into either Equation A or Equation B for your final answer:

From Equation A:

d = 4.9(24.19) = 119m

d = 300 -7.5(24.19) = 119m

So the answer is definitely 119 meters

• 3 years ago

Superman Height

• God
Lv 7
9 years ago

Lois and superman will move according to:

y_l=h0+v0t+g*t^2/2 ; v0=0

y_s=v0*t+a*t^2/2 ; v0=0

when they meet:

y_l=y_s => h0+g*t^2/2 = a*t^2/2

300-9.8*t^2/2 = 15*t^2/2

600-9.8*t^2 = 15*t^2

solve, t=~4.92s

y_s = 15*4.92^2/2 = 181.55m - the height at which they meet

Therefore the fall is 300-181.5=118.45m