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X=A+Bt+C(t*t). where 'X' is distance and 't' is time.Write dimensional of constants A,B and C.What are the fundamental quantities involved in this equation
For an Equation the dimensions of LHS and RHS must be equal.

The LHS have the dimension of length [L].  Therefore the each term in the RHS must have the dimension of length.

Therefore in RHS the constant 'A' have the dimesion of length [L].
     the constant 'B' has the dimension of velocity ie [L][T]-1
       the constant 'C has the dimension of acceleration [L][T]-2

X = A +Bt +Ct2

[L] = [L] + [L][T]-1[T] + [L][T]-2[T]2

ie, [L] =[L] + [L] +[L]

Basically we have 3 fundamental quantities. They are mass, length and time.

The above equation contain 2 fundamental quantities, length and time.


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