In the equation, s = ut +12at² the second equation of motion, 'u' represents the ____ velocity.

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In the equation, $s = ut + \frac{1}{2} at²$ the second equation of motion, $' u'$ represents the ____ velocity.

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In second equation of motion

s = ut + \frac{1}{2} at²

' u'

represents the initial velocity.
We get the second equation of motion as follows:

Average velocity = \frac{(initial velocity + final velocity)}{2}

This is, average velocity =

(u + v) / 2

Also, distance =

avg . velocity \times time

So,

s = \frac{(u + v)}{2} \times t

_____(1)
Now from first equation of motion,
We have,

v = u + at

Put the value of 'v' in equation (1) we get,

\Rightarrow s = \frac{(u + u + at)}{2} \times t

\Rightarrow s = \frac{(2 u + at)}{2} \times t

\Rightarrow s = \frac{2 ut + at²}{2}

\Rightarrow s = ut + \frac{1}{2} at²

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