Rewrite the following equation in terms of t- s - ut - 1-2a2t - 1

The correct option is D t = (2s + a)/ 2(u + a) s=ut+ 1 2 a(2t #8722;1) ⇒ s=ut+at 1 2 a ⇒ s+ 1 2 a=( u+a ) t ⇒ t= s+ 1 ...

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Standard XII

Mathematics

Eccentricity of Ellipse

Rewrite the f...

Question

Rewrite the following equation in terms of $t$ :
$s = u t + \frac{1}{2} a (2 t - 1)$

t = \frac{2 (s + u)}{2 a}

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t = \frac{(2 s + a)}{2 (u + a)}

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t = \frac{2 (s - u) - a}{a}

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none of these

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Solution

The correct option is D $t = \frac{(2 s + a)}{2 (u + a)}$
$s = u t + \frac{1}{2} a (2 t - 1) \Rightarrow s = u t + a t - \frac{1}{2} a \Rightarrow s + \frac{1}{2} a = (u + a) t \Rightarrow t = \frac{s + \frac{1}{2} a}{u + a} \Rightarrow t = \frac{2 s + a}{2 (u + a)}$
So, the answer is $B$ .

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Rewrite the following equation in terms of t:s=ut+12a(2t−1)

The correct option is D t=(2s+a)2(u+a)s=ut+12a(2t−1)⇒s=ut+at−12a⇒s+12a=(u+a)t⇒t=s+12au+a⇒t=2s+a2(u+a)So, the answer is B.

Rewrite the following equation in terms of $t$ :
$s = u t + \frac{1}{2} a (2 t - 1)$

The correct option is D $t = \frac{(2 s + a)}{2 (u + a)}$
$s = u t + \frac{1}{2} a (2 t - 1) \Rightarrow s = u t + a t - \frac{1}{2} a \Rightarrow s + \frac{1}{2} a = (u + a) t \Rightarrow t = \frac{s + \frac{1}{2} a}{u + a} \Rightarrow t = \frac{2 s + a}{2 (u + a)}$
So, the answer is $B$ .