Chapter 15, Problem 81GP

A transverse wave pulse travels to the right along a string with a speed v = 2.4 m/s. At t = 0 the shape of the pulse is given by the function

$D=\frac{4.0{\text{ m}}^3}{x^2+2.0{\text{ m}}^2}$

where D and x are in meters. (a) Plot D vs. x at t = 0 from x = –10 m to x = +10 m. (b) Determine a formula for the wave pulse at any time t assuming there are no frictional losses. (c) Plot D(x, t) vs. x at t = 1.00s. (d) Repeat parts (b) and (c) assuming the pulse is traveling to the left.