Show that the expression of vf =vi +at is dimensionally correct, where vi is the velocity at t = 0 , a is acceleration and vf is the velocity at time t. 


Given:

vf = vi + at
where 
t = time
vi = initial velocity at t =0
a = acceleration 
vf = final velocity at time t

To Find:

To prove that the equation vf = vi + at is dimensionally correct


Solution:

As given 
vf = vi + at  

Dimensions of L.H.S. of the equation = [vf] = [LT⁻¹]

Dimensions of R.H.S. of the equation = [vi] + [a][t]
                                                        = [LT⁻¹] + [LT⁻²][T]
                                                        = [LT⁻¹] + [LT⁻¹]
                                                        = [LT⁻¹]

L.H.S = R.H.S

Hence proved that the equation vf = vi + at is dimensionally correct.

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Numerical Problem 1.7
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List of 11th Physics Numerical Problems of Chapter - 1
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