Question

prove that s=ut+1/2 at2

Answer 1

AnswEr :

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We know that,

• v = u + at

• Average velocity = (u + v)/2

• Distance traveled = (Average velocity × Time)

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Substituting the values :

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$:\implies\sf{S=\bigg(\dfrac{u+v}{2}\bigg)\times t}$

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$:\implies\sf{S=\dfrac{u+(u+at)}{2}\times t}$

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$:\implies\sf{S=\dfrac{2u+at}{2}\times t}$

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$:\implies\sf{S=ut+\dfrac{1}{2}at^2}$

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