The disturbance $y (x, t)$ of a wave propagating in the positive. $x-$ direction is given by $y = \frac{1}{{1 + {x^2}}}$ at time $t\,= 0$ and by $y = \frac{1}{{\left[ {1 + {{\left( {x - 1} \right)}^2}} \right]}}$ at $t\, = 2\, s$, where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in $m/s$ is
AIEEE 2012, Diffcult
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