Where does the package strike the ground relative to the point directly below where it was released?

Question

An Alaskan rescue plane traveling 39 m/s drops a package of emergency rations from a height of 159 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s^2 .

Answer 1

let's call vertical component of distance Δy, and we have

Δy = v₀t + (1/2)at²

159 = (0)t + (1/2)(9.8)t²

t = 5.7 sec

Let's call horizontal component of distance Δx, and we have

(5.7s)(39 m/s) = 2.2 x 10² m

The package will strike at a point 2.2 x 10² m away from its initial drop