A plane is flying horizontally with speed

215 m/s at a height 2770 m above the ground, when a package is dropped from the plane. The acceleration of gravity is 9.8 m/s^2. Neglecting air resistance, when the package hits the ground, the plane will be _________.
Can anyone explain why the answer is directly above the package? Thanks.

The plane is traveling at 215 m/s horizontally. The package is traveling at 215 m/s horizontally. The package is falls directly under plane until the package hits the ground and it's horizontal speed is slowed.

To understand why the answer is directly above the package, let's break down the scenario and analyze the motion of the plane and the package.

When the package is dropped from the plane, it experiences a downward force due to gravity. This force causes the package to accelerate downward at a rate of 9.8 m/s^2. The plane, on the other hand, continues to move horizontally with a constant speed of 215 m/s.

Since the package and the plane were at the same horizontal position when the package was dropped, and the plane maintains its horizontal velocity, the package will maintain the same horizontal position relative to the plane as it falls. In other words, the horizontal distance between the package and the plane will remain constant.

Therefore, when the package hits the ground, the plane will still be directly above the package. The horizontal distance between them will not change during the fall.