How Do You Calculate Amplitude and Wave Velocity from a Wave Equation?

[chomsky]

Homework Statement

My professor has given us a pset with this problem:

A plane mechanical wave is represented by the equation $y = 30 sin(30\pi t + 0.03 \pi x)$
Where $y$ is measured in cm, $x$ is measured in metres and time $(t)$ is measured in seconds. Find
(i)amplitude of particle velocity
(ii)wave-velocity

Homework Equations

The Attempt at a Solution

While I know how to find (ii), I don't know how to find out (i). Can somebody please tell me ?

 

[gneill]

Homework Statement

My professor has given us a pset with this problem:

A plane mechanical wave is represented by the equation $y = 30 sin(30\pi t + 0.03 \pi x)$
Where $y$ is measured in cm, $x$ is measured in metres and time $(t)$ is measured in seconds. Find
(i)amplitude of particle velocity
(ii)wave-velocity

Homework Equations

The Attempt at a Solution

While I know how to find (ii), I don't know how to find out (i). Can somebody please tell me ?

What are the particles to which the question is referring? What actually moves when the wave passes a location?