A travelling wave pulse is given by `y = (10)/(5 + (x + 2t)^(2))`
Here, `x and y` are in meter and `t` in second. In which direction and with what velocity is the pulse propagation. What is the ampitude of pulse?

Explanation

A wave pulse is a disturbance localilzed only in a small part of space at a given instant (as shown in fig.)and its shape does not change during propagation. Thought a pulse can be represented by exponential or trigonometric function also, it is usually expressed by the form

`y=(a)/(b+(x+-vt)^(2)` Comparing the above with the given pulse we find that
`f(x+-vt)=(x+2t)^(2)`
i.e., the pulse is travelling along negative `x-`axis with locity `2m//s`.
Further amplitude is the maximum value of wave function which will be when `(x+2t)^(2)=0`
so, `A=y_(max)=(10)/(5)=2=-`