check the velocity of the v=u+at
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Let us check the dimensional correctness of the relation
v=
u+
at
ANSWER
Here u represents the initial velocity, v the final velocity, a the uniform acceleration, and t the time.
The dimensional formula of u is
[M
0
LT
−1
].
The dimensional formula of v is
[M
0
LT
−1
].
The dimensional formula of at is
[M
0
LT
−2
][T]=
[M
0
LT
−1
]
.
Here the dimensions of every term in the given physical relation are the same, hence the given physical relation is dimensionally correct.
Explanation:
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