Find the dimensions a, b in equation v = a + bt, where v = velocity a

1.	Find the dimensions a, b in equation v = a + bt, where v = velocity and t = time.
Answer» v = a + bt [v] = [a + bt] [v] = [a] ⇒ [a] = [M⁰L¹T^-1] [v] = [bt] [b] = \(\frac{[v]}{[t]}\) [b] = \(\frac{[M^0LT^{-1}]}{[T]}\) ⇒ [M⁰LT^-2]

Find the dimensions a, b in equation v = a + bt, where v = velocity and t = time.

Answer»

v = a + bt

[v] = [a + bt]

[v] = [a] ⇒ [a] = [M⁰L¹T^-1]

[v] = [bt]

[b] = \(\frac{[v]}{[t]}\)

[b] = \(\frac{[M^0LT^{-1}]}{[T]}\) ⇒ [M⁰LT^-2]

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Find the dimensions a, b in equation v = a + bt, where v = velocity and t = time.

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