
The Plane and The
Package
A GIF Animation
Consider a plane moving with a constant speed at an elevated
height above the Earth's surface. In the course of its flight, the
plane drops a package from its luggage compartment. What will be the
path of the package and where will it be with respect to the plane?
And how can the motion of the package be described? The animation
below depicts such a situation. The path of the plane and the package
are shown; additionally, the velocity components (horizontal and
vertical) are represented by arrows in the animation.

As can be seen from the above animation, the package follows a
parabolic path and remains directly below the plane at all times. As
the package falls, it undergoes a vertical acceleration; that is,
there is a change in its vertical velocity. This vertical
acceleration is attributed to the downward force of gravity which
acts upon the package. If the package's motion can be approximated as
projectile motion (that is, if the influence of air resistance can be
assumed negligible), then there will be no horizontal acceleration.
In the absence of horizontal forces, there would be a constant
velocity in the horizontal direction. This explains why the package
would be located directly under the plane from which it is dropped.
Many would insist that there is a horizontal force acting upon
the package since it has a horizontal motion. Yet this is simply not
the case. The horizontal motion of the package is the result of its
own inertia. When dropped from the plane, the package already
possessed a horizontal motion, and thus will maintain this state of
horizontal motion unless acted upon by a horizontal force. An object
in motion will continue in motion with the same speed and in the same
direction ... (Newton's first law). Remind your self continuously:
forces do not cause motion; rather, forces cause
accelerations.
For more information on physical descriptions of motion,
visit
The
Physics Classroom. Specific information is available there on the
following topics:
This page was created by
Tom
Henderson of
Glenbrook South
High School.
Comments and suggestions can be sent by e-mail to
Tom
Henderson.
A hearty thanks is due to lab assistant Bryce Mautner for her
assistance with the graphics and GIF animation.
This page last updated on 3/17/97.