$2.$ A wave is given by:

y$($x$,$ t$)=2$ sin$(0\mathrm{.}5$t $0\mathrm{.}6$x$)($m$)$

where y is the displacement and x is the dimension perpendicular to the displacement.

$($a$)$ What is the $($phase$)$ velocity?

$($b$)$ What is the wavelength?

$($c$)$ Plot y$($x$,$ t$)$ for t $=2$ s over the range $\backslash$lambda $<=$ x $<=\backslash$lambda $.$ You may do the plot this by

hand but I encourage you to use a software package to create a $$nice$$ plot. If a suitable

software package doesn$$t spring to mind, consider downloading MATLAB and use this as

an opportunity to get familiar with it$.$