Question

Check the correctness of v = u + at

Answer 1

this is absolutely correct because the formula as final velocity is equal to initial velocity plus acceleration into time

Answer 2

Given equation :- v = u + at

We know,

• dimensional formula of v = (M⁰LT⁻¹)

• dimensional formula of u = (M⁰LT⁻¹)

• dimensional formula of a = (M⁰LT⁻²)

• dimensional formula of t = (M⁰L⁰T)

→ LHS  is the dimensional formula of v = (M⁰LT⁻¹)

→ RHS = dimensional formula of u + dimensional formula of a × dimensional formula of t

= (M⁰LT⁻¹) + (M⁰LT⁻²) × (M⁰L⁰T)

= (M⁰LT⁻¹) + (M⁰LT⁻¹)

= 2(M⁰LT⁻¹)

2 is a dimensionless constant, so LHS = RHS

∵ Hence,the given relationship(equation) is dimensionally correct.