Question

show the derive of 2 equation of motion​

Answer 1

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Second equation of motion is:- S = ut+1/2at^2

Derivation:-

We know that,

Average velocity = u+v/2..........eq. (i)

Distance travelled = Average velocity × time

S = v with bar × t..............eq. (ii)

Using eq. (i) and (ii), we obtain........

S = (u+v/2)×t

From equation (I) of motion i.e., v = u+at

Using it in equation (ii),

S = (u+at+u/2)×t

S = (2u+at/2)×t

S = 2ut+at^2/2

S = 2ut/2+1/2 at^2

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S = ut+1/2at^2.........Proved!

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