[tex]s = \frac{1}{g {t}^{2}\pi } [/tex]
multiply through by
[tex]g {t}^{2} \pi[/tex]
[tex]s \times g {t}^{2} \pi = \frac{1}{g {t}^{2} \pi} \times g {t}^{2} \pi[/tex]
[tex]sg {t}^{2} \pi = 1[/tex]
dividing through by
sgπ
[tex] {t}^{2} = \frac{1}{sg\pi} [/tex]
[tex]t = \sqrt{ \frac{1}{sg\pi} } [/tex]
[tex]\bf S=\cfrac{1}{2}gt^2\pi \implies S = \cfrac{gt^2\pi }{2}\implies 2S=gt^2\pi \implies \cfrac{2S}{g\pi }=t^2\implies \sqrt{\cfrac{2S}{g\pi }}=t[/tex]
