The equation y$($x$,$t$)=$Acos$2$f$($xv$$t$)$y$($x$,$t$)=$Acos$2$f$($xv$$t$)$ may be written as y$($x$,$t$)=$Acos$[2$$($x$$vt$)]$y$($x$,$t$)=$Acos$[2$$($x$$vt$)].$

Part A

Use the last expression for y$($x$,$t$)$y$($x$,$t$)$ to find an expression for the transverse velocity vyvy of a particle in the string on which the wave travels.

Express your answer in terms of AA$,$ vv$,$ $,$ xx$,$ tt$.$ Use as constant.

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Part B

Find the maximum speed of a particle of the string.

Express your answer in terms of AA$,$ vv$,$ $,$ xx$,$ tt$.$ Use as constant.