Chapter 1, Problem 4P

A wave traveling along a string is given by

$y\left(x,t\right)=2\sin \left(4\pi t+10\pi x\right)\left(\text{cm}\right)$,

where x is the distance along the string in meters and y is the vertical displacement. Determine: (a) the direction of wave travel, (b) the reference phase ϕ₀, (c) the frequency, (d) the wavelength, and (e) the phase velocity.