A rod with a proper length of 3 m moves along x-axis, making an angle of 30° with respect to the x-axis. If its speed is $\frac{c}2m/s$, where c is the speed of light, the change in length due to Lorentz contraction is _________ m (Round off to 2 decimal places). [Use $c = 3 x 10^8 m/s$]