Question

A sinusoidal wave travelling in the positive direction on a stretched string has amplitude 2 cm. wavelength 1 m and wave velocity 5 m/s. At x = 0 and t = 0 , it is given that y = 0 and ∂y/∂t < 0. Find the wave function y(x, t).

Answer 1

We start with a general form for a rightward moving wave,

From these conditions, we may conclude that