third equation of motion proof
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Second eq. of motion is
S = ut + ½ at2
Substitute t = (v-u)/a (from 1st eq.of motion) in the above and simplify:
S = u(v-u)/a + ½ a [(v-u)/a]2
2S = 2u(v-u)/a + (v2 + u2 - 2uv)/a
2aS = 2uv - 2u2 + v2 + u2 - 2uv
2aS = v2 - u2 (third equation)
S = ut + ½ at2
Substitute t = (v-u)/a (from 1st eq.of motion) in the above and simplify:
S = u(v-u)/a + ½ a [(v-u)/a]2
2S = 2u(v-u)/a + (v2 + u2 - 2uv)/a
2aS = 2uv - 2u2 + v2 + u2 - 2uv
2aS = v2 - u2 (third equation)
AkshuSamdani:
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(v)^2 = (u)^2 + 2as.
hope it's help you....
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