The amplitude of a wave disturbance propagating in the positive x-direction is given by \[y=\frac{1}{1+{{x}^{2}}}\] at t=0 and \[y=\frac{1}{2+{{x}^{2}}-2x}\] at t = 2s, where x and y are in meter. Assuming that the shape of the wave disturbance does not change during the propagation, the speed of the wave is

• A. \[0.5m/s\]
• B. \[~1m/s\]
• C. \[1.5m/s\]
• D. \[2\text{ }m/s\]