The percentage errors in the measurement of mass, length, and time...

The maximum percentage error is calculated using the dimensional formula of each quantity, where errors are always added regardless of whether the power is positive or negative.

For Velocity $[LT^{-1}]$:
Maximum percentage error $= \%L + \%T = 2\% + 3\% = 5\%$. This matches (A) with (III).

For Acceleration $[LT^{-2}]$:
Maximum percentage error $= \%L + 2(\%T) = 2\% + 2(3\%) = 8\%$. This matches (B) with (IV).

For Force $[MLT^{-2}]$:
Maximum percentage error $= \%M + \%L + 2(\%T) = 1\% + 2\% + 2(3\%) = 9\%$. This matches (C) with (I).

For Kinetic Energy $[ML^2T^{-2}]$:
Maximum percentage error $= \%M + 2(\%L) + 2(\%T) = 1\% + 2(2\%) + 2(3\%) = 11\%$. This matches (D) with (II).

Therefore, the correct matching is (A)-(III), (B)-(IV), (C)-(I), (D)-(II).

Answer: (A)-(III), (B)-(IV), (C)-(I), (D)-(II)