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

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SUMMARY

The discussion centers on the physics problem of a pilot dropping a package from a horizontally flying plane. The consensus is that when the package hits the ground, the plane will be directly over the package, confirming option B as the correct answer. This conclusion is based on the principle that, neglecting air resistance, the horizontal velocity of both the plane and the package remains constant and equal during the fall. Thus, the package retains the same horizontal speed as the plane throughout its descent.

PREREQUISITES
  • Understanding of basic physics concepts, particularly projectile motion.
  • Knowledge of horizontal velocity and its constancy in the absence of air resistance.
  • Familiarity with the principles of free fall and gravitational acceleration.
  • Ability to analyze motion in two dimensions (horizontal and vertical).
NEXT STEPS
  • Study the principles of projectile motion in physics textbooks.
  • Learn about the effects of air resistance on falling objects.
  • Explore the concept of relative motion in physics.
  • Investigate real-world applications of projectile motion, such as in aviation and sports.
USEFUL FOR

This discussion is beneficial for students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of motion in a gravitational field.

Yosty22
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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?
 
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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.
 

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