Make t the subject of formula S = ut + 12at..

Question 1 Report

Make t the subject of formula S = ut + $\frac{1}{2} a t^{2}$

\frac{1}{a} - u + \sqrt{u^{2} - 2 a s}

\frac{1}{a} u \pm (u^{2} - 2 a s)

\frac{1}{a} u \pm \sqrt{2 a s}

\frac{1}{a} - u + \sqrt{2 a s}

Answer Details

Given S = ut + $\frac{1}{2} a t^{2}$
S = ut + $\frac{1}{2} a t^{2}$
∴ 2S = 2ut + at2
= at2 + 2ut - 2s = 0
t = $\frac{- 2 u \pm 4 u^{2} + 2 a s}{2 a}$
= -2u $π$ $\frac{\sqrt{u^{2} 4 u^{2} + 2 a s}}{2 a}$

= $\frac{1}{a}$ (-u + $\sqrt{U^{2} - 2 a s}$ )

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Make t the subject of formula S = ut + 12at2