2. A Transverse Traveling Wave

Consider the following quantitative model for a transverse traveling wave moving on a string:

y(x,t)=(0.350m)sin[(1.25m1)x+(99.6s1)t].

a. Find the amplitude, wavelength, frequency, and speed of the wave modeled by this equation.

b. Sketch the wave at the instant t=0.

c. Consider the element of the string located at x=0. How much time passes between the first two instants when that element has a position y=0.350m? Explain your conclusion.

d. Consider the element of the string located at x=0. How much time passes between the first two instants when that element has a position y=0.175m? Explain your work.