Question

Derive the third equation of motion.

Answer 1

Three Equations of Motion. The three equations of motion v = u + at; s = ut + (1/2) at2 and v2 = u2 + 2as can be derived with the help of graphs as described below. Consider the velocity – time graph of a body shown in the below Figure. Velocity – Time graph to derive the equations of motion.

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Answer 2

Explanation:

third equation: v²-u²=2as

by first equation of motion time =v-u/a

distance =average velocity ×time

average velocity =v+u/2

let distance be s

s=(v+u)/2 × v-u/a

s=v²-u²/2a

v²-u²=2as