A care package is released from a plane moving with a horizontal speed of 123 m/s. The plane flies at a constant height of 1013 m above the ground.

a.) Find the speed of the care package just before it hits the ground.

b.) Find the magnitude of the angle with respect to the x-direction of the care package's velocity just before it hits the ground.

I can't figure out these two, and any help would be great. Mainly, though, I am not sure how to find Vo (initial velocity) in the Y direction, or the Vf. Thanks!

1 answer

a. Yf^2 = Yo^2 + 2g*h.
Yo = 0.
g = 9.8 m/s^2.
h = 1013 m.
Yf = ?.

Vf = Sqrt(Xo^2 + Yf^2), Xo = 123 m/s.

b. Tan A = Yf/Xo.