A stunt woman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The speed of the horse is 13.5 m/s, and the woman is initially 2.60 m above the level of the saddle.

Question

A stunt woman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The speed of the horse is 13.5 m/s, and the woman is initially 2.60 m above the level of the saddle.
(a) What must be the horizontal distance between the saddle and limb when the woman makes her move?
  m

(b) How long is she in the air?
  s

Henry · Accepted Answer

a. h = Vo*t + 0.5g*t^2.= 2.60 m. 0 + 4.9t^2 = 2.60, t^2 = 0.531, Tf = 0.728 s = Fall time. d = V*t = 13.5m/s * 0.728 s. = 9.83 m. b. Tf = 0.728 s = Fall tm3e.