Explanation of symbols in equations (trajectory)

[Cedar]

I am trying to calculate the trajectory of an object flying through the air. Can ANYONE please explain each symbol in these equations:

https://wikimedia.org/api/rest_v1/media/math/render/svg/f1f5fd3875ef4ce4b93106fcf633ac8faddc540a

https://wikimedia.org/api/rest_v1/media/math/render/svg/4db61cb4c3140b763d9480e51f90050967288397

https://wikimedia.org/api/rest_v1/media/math/render/svg/50d22b726695585727333fa8480cfe6dc00a88fc

https://wikimedia.org/api/rest_v1/media/math/render/svg/34e66aff43e620bda9eb95c4cc73429c8150049a

Thank you for your time and help.

 

[stapel]

I am trying to calculate the trajectory of an object flying through the air. Can ANYONE please explain each symbol in these equations:

\(\displaystyle \mbox{a. }\, y\, =\, y_0\, +\, x\,\tan(\theta)\, -\, \dfrac{gx^2}{2\, \left(\strut v\, \cos(\theta)\right)^2}\)

\(\displaystyle \mbox{b. }\, \theta\, =\, \arctan\left(\dfrac{v^2\, \pm\, \sqrt{\strut v^4\, -\, g\, (gx^2\, +\, 2yv^2)\,}}{gx}\right)\)

\(\displaystyle \mbox{c. }\, m\, =\, \)\(\displaystyle \displaystyle \int_V\, \rho(\vec{r})\, dV\)

\(\displaystyle \mbox{d. }\, \rho\, =\, \dfrac{m}{V}\)

Which of the symbols was not covered in class? (Note: The meanings of the various variables may depend upon the context. We may not be able to help, lacking information on the source of these equations.)

Thank you!