Physics

Problem

The displacement of a wave disturbance propagating in the positive

x

-direction is given by

y = \frac{1}{1+x^2} \text{ at } t = 0 \quad \text{and} \quad y = \frac{1}{1+(x-1)^2} \text{ at } t = 2 \text{ s}

where,

x

and

y

are in metre. The shape of the wave disturbance does not change during the propagation. What is the velocity of the wave?