Question

$\red {\mathfrak{Question}}$
$\sf \pink{To \: Prove : - } \\ \red{\tt{s = ut + \frac{1}{2} \: at^{2} }}$
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Answer 1

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$\red {\mathfrak{ \underline{Question}}} \\ \sf \pink{To \: Prove : - } \\ \red{\tt{s = ut + \frac{1}{2} \: at^{2} }}$

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$\red{\mathfrak{ \underline{Answer}}}$

# Suppose a body is moving with initial velocity 'U' after time 't' . It changes its velocity 'V' Now we can say that body accelarated 'a' mean while body covers distance 's'.

S = area under velocity time graph

S = area of trapezium

S = area of triangle + area of rectangle

S = area of ∆ ABC + area of ⬜ AOCD

$\tt{ \implies \: S = \frac{1}{2} \times b \times h + l \times b \: \: \: \: \: } \\ \tt{ \implies \: S = \frac{1}{2} AC\times \: BC + AO \times \: OD } \\ \tt{ \implies \: S = \frac{1}{2} \times t \times at + u \times t \: \: \: \: } \\ \tt{ \implies \: S = ut + \frac{1}{2} \: at ^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \tt \red{ \underline{verified}}$

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Answer 2

Upper Wala Ekdam Correct hai ji