Chapter 16, Problem 126AP

A transverse wave on a string is modeled with the wave function $y\left(x,t\right)=0.10\text{m}\sin \left(0.15{\text{m}}^{-1}x+1.50{\text{s}}^{-1}t+0.20\right)$ . (a) Find the wave velocity. (b) Find the position in the y-direction, the velocity perpendicular to the motion of the wave, and the acceleration perpendicular to the motion of the wave, of a small segment of the string centered at $x=0.40$ m at time $t=5.00$ s.