A sinusoidal wave travelling in the positive direction on a stretched string has amplitude 2.0 cm, wavelength 1.0 m and wave velocity 5.0 m/s. Ar x = 0 and t = 0, it is given that `y=0 and (deltay)/(deltat)lt 0`. Find the dr wave function y(x, t).

Explanation

We start with a general form for a rightward moving wave. `:.y(x,t)=(0.02) sin(2pi x-5.0t)phi]`
We are told that for `x=0, t=0, y=0 and (deltay)/(deltat) lt 0`
From these conditions, we may conclude that `phi=2n pi` where n = 0, 2, 4, 6. Therefore,
`y(x,t)=(0.02) sin [(2pi)x-(10pi)t]m`