Question

# Derive third equation of motion.

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Solution

## We have to prove the third equation of motionAccording to the third Equation of Motionv2−u2=2as Proof - Let initial speed = uFinal speed = vAcceleration = aTime = tFrom the first equation of motionv=u+atOr,t=v−uaAverage velocity is given asv+u2Also we know that Distance = average velocity X Times=v+u2×v−ua After solvingWe get v2−u2=2as This is the third equation of motion.Hence proved.

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