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

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

\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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