Chapter 16, Problem 93P

A traveling wave on a string is described by

$y=\text{2}.0\sin \left[2\pi \left(\frac{t}{0.40}+\frac{x}{80}\right)\right],$

where x and y are in centimeters and t is in seconds, (a) For t = 0, plot y as a function of x for 0 ≤ x ≤ 160 cm. (b) Repeat (a) for t = 0.05 s and t = 0.10 s. From your graphs, determine (c) the wave speed and (d) the direction in which the wave is traveling.