S - ut - at22- make -a- the subject of formula-

The correct option is A a=2(s ut)/t^2 Given, #160; s = ut + 12at^2 ⇒ s ut = 12at^2 ⇒ a = 2(s ut)t^2 ...

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Standard XII

Mathematics

Definition of Functions

s = ut + at22...

Question

$s = u t + \frac{a t^{2}}{2}$ ; make 'a' the subject of formula.

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

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

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

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none of the above

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Solution

The correct option is A $a = \frac{2 (s - u t)}{t^{2}}$
Given,
$s = u t + \frac{1}{2} a t^{2}$
$\Rightarrow s - u t = \frac{1}{2} a t^{2}$
$\Rightarrow a = \frac{2 (s - u t)}{t^{2}}$

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s=ut+at22; make 'a' the subject of formula.

The correct option is A a=2(s−ut)t2Given, s=ut+12at2⇒s−ut=12at2⇒a=2(s−ut)t2

$s = u t + \frac{a t^{2}}{2}$ ; make 'a' the subject of formula.

The correct option is A $a = \frac{2 (s - u t)}{t^{2}}$
Given,
$s = u t + \frac{1}{2} a t^{2}$
$\Rightarrow s - u t = \frac{1}{2} a t^{2}$
$\Rightarrow a = \frac{2 (s - u t)}{t^{2}}$