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natta225 [31]
3 years ago
14

The position, x, of an object is given by the equation x = A + Bt +Ct2, where t refers to time. What are the dimensions of A, B,

and C?
Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer: Dimensions of A are of length [L]

Dimensions of B are of LT^{-1}

Dimensions of C are of LT^{-2}

Step-by-step explanation:

The given equation is

x(t)=A+Bt+Ct^{2}

Since the dimension on the L.H.S of the equation is [L] , each of the terms on the right hand side should also have dimension of length[L] to be dimensionally valid

Thus

Dimensions of A = [L]

Dimensions of Bt = [L]

Bt=[L]\\\\[B][T]=[L]\\\\\therefore [B]=LT^{-1}

Similarly

Dimensions of Ct^{}2 = [L]

Ct^{2}=[L]\\\\[C][T]^{2}=[L]\\\\\therefore [C]=LT^{-2}

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