Question

Student wants to jump from their 3rd floor apartment window to the swimming pool below. The base of the apartment is 8.00 meters from the pool’s edge. If the window is 20.0 meters high, how fast does the student have to be running horizontally to make sure they make it to the pool’s edge?

Answer 1

Dx = 8.0 m.
h = 20 m.
Xo = ? m/s.

h = 0.5g*t^2 = 20 m.
4.9t^2 = 20
t^2 = 4.082
Tf = 2.02 s. = Fall time.

Dx = Xo*Tf = 8.0 m.
Xo * 2.02 = 8
Xo = 3.96 m/s.