Wave pulse

A wave pulse is described by the equation,

Here $t$ is measured in seconds and $x$ is measured in meters.

$y$

$x$
at $t=0$

at $t=$

What is the maximum amplitude of the wave pulse? $y=$ [m]
What is the velocity of this wave pulse? (The velocity can be negative.)$v=$ [m/s]
What is the maximum value that $\frac{\partial y}{\partial t}$ achieves?$\frac{\partial y}{\partial t}=$ [m/s]
What is the maximum value that $\frac{\partial y}{\partial x}$ achieves?$\frac{\partial y}{\partial x}=$