Where Will the Plane Be When the Package Hits the Ground?

[Yosty22]

Homework Statement

A pilot drops a package from a plane, flying horizontally at a constant speed. Neglecting air resistance, when the package hits the ground, the horizontal location of the plane will
A. Be in front of the package
B. Be over the package
C. Be behind the package
D. Depend on the speed of the plane when the package was released

Homework Equations

NONE

The Attempt at a Solution

I believe the answer is B. My thinking was: Since the plane is flying at a constant speed, the X component of velocity is the same throughout the flight. If the package is dropped from the plane, the X component of velocity will be the same for the package as it falls (since air resistance is neglected) so the only difference is the height. The plane should be directly over the package when it finally reaches the ground.
Is this correct? I am not flawed in my logic, am I?

 

[Melon Knight]

Yes, you're right. That's exactly what would happen without air resistance; the plane and the package will have the exact same velocity during the time the package falls, same speed and same direction.