A pulse travelling on a string is represented by the function
y=a^3/((x-vt)^2+a^2)`
where a=5 mm and v=20 cms^-1. Sketch the shape of the string at t=0, 1 s and 2s. Take x=0 in the middle of the string.

Answer

A

Explanation

The pulse is given by
`y=[((a)^3)/([(x-vt)^2+a^2)])]`
`a=5mm`
`=0.5cm`
`v=20cm/s` At `t=0s, y=a^3/((x^2+a^2))`
The graph between y and x can be plotted by talking different vaues of x.
(left as excercse for the studen). ltbr.gt similarly at t=1 s,
`y=a^3/({(x-v)^2+a^2])`
and at t=2s, y=a^3/({(x-2v)^2+a^2})`