Q. 34 A4.4( 14 Votes )

Derive the formula : v = u + at; where

the symbols have usual meanings.

Answer :

Consider a body of mass “m” having initial velocity “u”.Let after time “t” its final velocity becomes “v” due to uniform acceleration “a”.

Now we know that:
Acceleration = change in velocity/Time taken


=> Acceleration = Final velocity-Initial velocity / time taken


=> a = v-u /t
=>at = v-u


or v = u + at
This is the first equation of motion.


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