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Is there simpler way to approach this particle collision problem?

Дата публикации: 11-10-2026 08:36:58



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  • Thread starter Thread starter joturttle
  • Start date Start date Oct 10, 2026
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Not sure if it's shorter or simpler, but it avoids trigonometric functions until the very end:

- Use Pythagoras to get the time to impact ##t##
- Use ##t## to get the horizontal distance ##s_x##
- Use ##atan## to get ##\theta##

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Not sure if it's shorter or simpler, but it avoids trigonometric functions until the very end:

- Use Pythagoras to get the time to impact ##t##
- Use ##t## to get the horizontal distance ##s_x##
- Use ##atan## to get ##\theta##

This would be my first guess too. Note that Pythagoras yields a quadratic in ##t^2##, so I think finding the hypotenuse and using ##\cos^{-1}## is slightly shorter.

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