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Question Number 171773 by Mikenice last updated on 20/Jun/22

m a k e T t h e s u b j e c t o f t h e f o r m u l a i f

s = u t + \frac{1}{2} {a t}^{2}

Answered by thfchristopher last updated on 21/Jun/22

T ? O r t ?

s = u t + \frac{1}{2} {a t}^{2}

\Rightarrow 2 s = 2 u t + {a t}^{2}

\Rightarrow {a t}^{2} + 2 u t - 2 s = 0

\Rightarrow t = \frac{- 2 u \pm \sqrt{4 u^{2} + 8 a s}}{2 a}

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

Answered by MikeH last updated on 21/Jun/22

{a t}^{2} + 2 u t - 2 s = 0

quadratic equation

t = \frac{- 2 u \pm \sqrt{4 u^{2} + 4 a s}}{2 a}

\Rightarrow t = \frac{- u \pm \sqrt{u^{2} + a s}}{a}

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