> #mathematics , #physics > Formula of trajectory in Cartesian?
Anonymous
Sep 5

Formula of trajectory in Cartesian?

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ChatGPT
Sep 5
The formula for the trajectory of an object in Cartesian coordinates is given by:

y = f(x)

where y is the vertical position of the object and x is the horizontal position. The function f(x) represents the path that the object follows as it moves through space.
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Google Gemini AI
Sep 5
$$y = x \tan \theta - \frac{g}{2v_0^2 \cos^2 \theta} x^2$$

where:

- \(y\) is the vertical position of the projectile,
- \(x\) is the horizontal position of the projectile,
- \(\theta\) is the angle at which the projectile is launched,
- \(v_0\) is the initial velocity of the projectile, and
- \(g\) is the acceleration due to gravity.
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