A wave travels along the positive x-direction with

A wave travels along the positive $x$-direction with a speed of $20 \mathrm{~m} / \mathrm{s}$. The amplitude of the wave is $0.20 \mathrm{~cm}$ and the wavelength is $2.0 \mathrm{~cm}$

(a) Write suitable wave equation which describes this wave

(b) What is the displacement and velocity of the particle at $x=2.0 \mathrm{~cm}$ at time $t=0$ according to the wave equation written?

Can you get different values of this quantity if the wave equation is written in a different fashion?