Dynamics, plane drops mass trajectory question

AI Thread Summary
To determine the angle theta for the pilot's line of sight to the target at the moment of package release, the equations of motion under gravity should be applied. The plane is traveling at a constant speed of 200 km/hr and at a height of 100m, indicating that horizontal motion is uniform while vertical motion is influenced by gravity. It is essential to derive the free fall equations from scratch, considering the constant speed and the acceleration components. Understanding the relationship between horizontal distance and time of fall will be crucial in calculating the correct angle. This approach will lead to a solution for the trajectory of the package.
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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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