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Derive third equation of motion in short form

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ANSWER:
Third equation of Motion
v^2 = u^2 +2as

We know that
V = u + at
=> v-u = at
or t = (v-u)/a ………..eq.(3)

Also we know that
Distance = average velocity X Time
.: s = [(v+u)/2] X [(v-u)/a]
=> s = (v^2 – u^2)/2A

=>2as = v^2 – u^2

or v^2 = u^2 + 2as

This is the third equation of motion.


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