Question

derive
the equation v²-U²=2as ​

Answer 1

Answer:

hope it helpful for you

Answer 2

${\underline{\huge{\mathbf{\color{red}{To\:prove}}}}}$

$v^2 - u^2 = 2as$

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Distance travelled = average velocity * time

• average velocity = $\frac{u+v}{2}$
• from eq 1. v = u + at
• $t =\frac{v-u}{a}$
• distance travelled = S

S = $\frac{u+v}{2} * \frac{v-u}{a}$

S = $\frac{v^2 - u^2}{2a}$

$v^2 - u^2 = 2as$

........HENCE VERIFIED

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${\underline{\huge{\mathbf{\color{pink}{EXTRA\: INFO}}}}}$

• when a body starts from rest , initial velocity is zero(u=0), then

$v^2 = 2as$

• If a body is moving with a uniform retardation, a will be Negetive. equation of motion will be

$v^2 -u^2 =-2as$

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${\underline{\huge{\mathbf{\color{pink}{Thank\: you}}}}}$