A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 100 m above the glacier at a speed of 140 m/s. How far short of the target should it drop the package?

The plane should drop the package 632.8m away from the scientists

Explanation:

Given data

Our origins is the plane in the moment it drops the package

The positive vertical direction is upward

The positive horizontal direction is to the right

From equation of simple motion we know

From horizontal velocity:

The plane should drop the package 632.8m away from the scientists

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be