Make t the subject of formula S ut frac 1 2 at 2 - JAMB Mathematics 1992 Question
Make t the subject of formula S = ut + \(\frac{1}{2} at^2\)
A
\(\frac{1}{a}\) (-u + \(\sqrt{U^2 - 2as}\))
B
\(\frac{1}{a}\) {u \(\pm\) (U2 - 2as)}
C
\(\frac{1}{a}\) {u \(\pm\) \(\sqrt{2as}\)}
D
\(\frac{1}{a}\) {-u + \(\sqrt{( 2as)}\)}
correct option: a
Given S = ut + (\frac{1}{2} at^2)
S = ut + (\frac{1}{2} at^2)
∴ 2S = 2ut + at2
= at2 + 2ut - 2s = 0
t = (\frac{-2u \pm 4u^2 + 2as}{2a})
= -2u (\pi) (\frac{\sqrt{u^2 4u^2 + 2as}}{2a})
= (\frac{1}{a}) (-u + (\sqrt{U^2 - 2as}))
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