Question

A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 50.0m above the glacier at a speed of 100m/s . How far short of the target should it drop the package?

Answer 1

h = 0.5g*t^2 = 50 m.
4.9t^2 = 50
t^2 = 10.2
Tf = 3.19 s. = Fall time.

d = V*Tf = 100m/s * 3.19s = 319 m.

Answer 2

t= √ 2y/g = √2(10m)/9.8m/s^2 = √2(10)/9.8 = 3.19 s

d= 3.19s(100) = 319.4 = 319m