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A package falls out of an airplane that is flying in a straight line at a constant altitude and speed. If you ignore air resistance,what would be the path of the package as observed by the pilot? As observed by a person on the ground?

Short Answer

Expert verified

the path for package observed by pilot is straight lineand the path of the package observed by the observer at ground is parabolic.

Step by step solution

01

Concept/Significance of trajectory.

A trajectory, often known as a flight path, is the route that a mass moving through space takes as a function of time.

02

Determination of be the path of the package as observed by the pilot.

The pilot (and the plane) keeps the same horizontal velocity as when the cargo was dropped. At every moment of the package's descent, their x-displacements are identical. The package accelerates downhill owing to gravity. The cargo moves straight down in relation to the pilot.

Thus, the path for package observed by pilot is straight line.

03

Determination of be the path of the package as observed bya person on the ground

The route of the package as viewed from the ground will be a parabola, because the package had an initial velocity in the horizontal direction equal to that of the plane, and once under the effect of gravity, it likewise travelled downward. The path of the package as seen by an observer on the ground is shown in the diagram below as:

Thus, the path of the package observed by the observer at ground is parabolic.

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