Question

derive second equation of motion

Answer 1

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Your derivation-:

Let be the distance moved by an object= "s".

We know that,

Distance = Average velocity*time

Average velocity = (u+v)/2

Then s= (u+v)/2×t

According to the first equation of motion.

v = u+at

Substitute the value of "s".

s = (u+u+at)/2×t

s = (2u+at)/2×t

$s = (\frac{2u + {at}^{2} }{2} )$

$s = (\frac{2ut }{2} + \frac{ {at}^{2} }{2} )$

$s = ut + \frac{1}{2} {at}^{2}$

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