Test the dimensionally homogeneity of the equation s=ut-1/2at^2
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A dimensionally homogeneous equation is an equation which has balanced units on each side.
dimension of s = [M⁰L¹T⁰]
dimension of ut
(m/s)×s = m
dimension will be [M⁰L¹T⁰]
dimension of (1/2)at²
(m/s²)×s² = m
dimension will be [M⁰L¹T⁰]
so the equation s = ut+(1/2)at² is dimensionally homogeneous.
dimension of s = [M⁰L¹T⁰]
dimension of ut
(m/s)×s = m
dimension will be [M⁰L¹T⁰]
dimension of (1/2)at²
(m/s²)×s² = m
dimension will be [M⁰L¹T⁰]
so the equation s = ut+(1/2)at² is dimensionally homogeneous.
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