- #1

- 479

- 4

I know that the second derivative of the position R(t) of a particle moving in the plane, in polar coordinates, is (r''-r([tex]\vartheta[/tex]')

^{2})e

_{r}+ (r[tex]\vartheta[/tex]''+2r'[tex]\vartheta[/tex]')e

_{o}. o = [tex]\vartheta[/tex]

How to differentiate this to find R'''(t), in polar coordinates and in turn find R'''(1) in polar coordinates if R(t) has polar coordinates r(t) = t

^{2}, [tex]\vartheta[/tex](t) = t

^{2}