A body starts from rest and. moves with acceleration a for time t.The average velocity over time t.
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rakeshmohata:
1st option is correct
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total displacement/ time
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Hope u like my process
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We know that.
![= > \bf \: v = u + at \\ \\ where \: \: v = final \: \: velocity \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: u = initial \: \: velocity \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: a = acceleration \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = time\: \: = > \bf \: v = u + at \\ \\ where \: \: v = final \: \: velocity \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: u = initial \: \: velocity \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: a = acceleration \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = time\: \:](https://tex.z-dn.net/?f=+%3D++%26gt%3B+%5Cbf+%5C%3A+v+%3D+u+%2B+at+%5C%5C++%5C%5C+where+%5C%3A++%5C%3A+v+%3D+final+%5C%3A+++%5C%3A+velocity+%5C%5C++%5C%5C++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+u+%3D+initial+%5C%3A++%5C%3A+velocity+%5C%5C++++%5C%5C++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+a++%3D+acceleration+%5C%5C++%5C%5C++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A++%5C%3A+t+%3D+time%5C%3A++%5C%3A+)
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So
=> V = 0+ at = at
Average velocity
![= \frac{v + u}{2} = \frac{at}{2} = \frac{v + u}{2} = \frac{at}{2}](https://tex.z-dn.net/?f=+%3D++%5Cfrac%7Bv+%2B+u%7D%7B2%7D++%3D++%5Cfrac%7Bat%7D%7B2%7D+)
_________________________
Hope this is ur required answer
Proud to help you
=====================
We know that.
____________________
So
=> V = 0+ at = at
Average velocity
_________________________
Hope this is ur required answer
Proud to help you
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