If acceleration (A), velocity (V) and mass (M) are taken as fundamental quantities then dimensional formula of length is
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A=LT^-2
V=LT^-1
M=M^1
[LT^-2]^x [LT^-1]^y [M]^z= L^1
L^x+y M^z T^-2x-y = L^1
So,
x=-1
y=2
z=0
Dimensions of Length is=
V^2/A
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