Dynamics, plane drops mass trajectory question

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SUMMARY

The discussion centers on calculating the angle of release for a package dropped from an airplane traveling at a constant speed of 200 km/hr at a height of 100m. To determine the angle theta with the horizontal, participants recommend using the equations of motion under gravity and deriving the free fall equations. The constant speed implies that horizontal acceleration is zero, while vertical acceleration is due to gravity. This foundational understanding is crucial for solving the trajectory problem accurately.

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  • Understanding of basic physics concepts, particularly projectile motion.
  • Familiarity with equations of motion under gravity.
  • Knowledge of constant velocity and its implications on acceleration.
  • Ability to derive and manipulate kinematic equations.
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  • Study the derivation of free fall equations in physics.
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  • Explore the impact of initial velocity on trajectory calculations.
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Homework Statement



The pilot of an airplane, carrying a package of mail, wishes to hit recovery location A. Assume that the plane is traveling at constant speed of 200 km/hr at a constant height of 100m above the ground. What angle theta with the horizontal should the pilot's line of sight to the target make at the instant of release?

Homework Equations


I don't understand what equations to use, if you could help that would be awesome.


The Attempt at a Solution

 
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Just start with the equations of motion under gravity, or you could use the already derived free fall equations, but its better start from scratch and derive it. They tell you that speed is constant, so what are the acceleration components?
 

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