I need an advice help with a "Ballistic" problem/task

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SUMMARY

The discussion revolves around solving a ballistic problem involving a material point with a mass of 45.93 kg, launched at an angle of 45° with an initial speed of 373 km/h from specific geographic coordinates (N 42° 38.554 E 023° 13.911). The participant is tasked with determining the landing coordinates, considering factors such as the Coriolis effect and Earth's curvature. The community emphasizes the importance of presenting solutions symbolically and using LaTeX for clarity in mathematical expressions.

PREREQUISITES
  • Understanding of basic physics concepts related to projectile motion
  • Familiarity with coordinate systems and geographic coordinates
  • Knowledge of the Coriolis effect and its implications in projectile motion
  • Proficiency in LaTeX for formatting mathematical equations
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  • Research the effects of the Coriolis force on projectile motion
  • Learn how to calculate the trajectory of a projectile using symbolic equations
  • Explore the use of LaTeX for presenting mathematical solutions clearly
  • Investigate the impact of Earth's curvature on long-range projectile calculations
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This discussion is beneficial for physics students, educators, and anyone involved in solving ballistic problems or interested in the mathematical modeling of projectile motion.

BorPetVlad
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Hi All,

I am trying to solve the following "puzzle", but I feel like there is information I am missing. Not information in the problem, but a method to solve or something else.

I need your advice or help.


1. Homework Statement


Put a material point with mass 45.93 on the N 42° 38.554 E 023° 13.911 coordinates. Launch it at angle 45° towards horizontal surface, with initial speed 373 km/h, in direction 29,5° azymuth.
With the given details You must find where the ball will fall.

Homework Equations



attached.

The Attempt at a Solution


[/B]
1094m - attached.
 

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Not sure if you are supposed to consider Coriolis and/or Earth's curvature for the range. Given that it is only about 1km, probably not.
But I should think you are to give the answer as latitude and longitude. You may have to consider curvature for that.

Please do not post working as images. Those are for diagrams and textbook extracts. Take the trouble to type it in.
Also, try to work purely symbolically, only plugging in numbers at the end. There are many advantages, not least that it makes it much easier for others to follow your logic. Rememeber to define your variables.
 
Here's a little brighter version of your image, but haruspex is right -- it's better to type your work into the forum in your future posts here. Thanks.
formula.PNG
 
berkeman said:
it's better to type your work into the forum

And it's even better when you use LaTeX.
 
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