Chapter 15, Problem 58P

(II) Two traveling waves are described by the functions

$\begin{array}{l}{D}_1=A\sin \left(kx-\omega t\right)\\ D_2=A\sin \left(kx+\omega t\right),\end{array}$

where A = 0.15m, k = 3.5m^–1, and ω = 1.8 s^–1. (a) Plot these two waves, from x = 0 to a point x(> 0) that includes one full wavelength. Choose t = 1.0 s. (b) Plot the sum of the two waves and identify the nodes and antinodes in the plot, and compare to the analytic (mathematical) representation.