A transverse wave on a string is given by the wave function

y$($x$,$ t$)=(0\mathrm{.}450$ m$)$ sin

$(25\mathrm{.}1$ rad$/$s$)$t $+(9\mathrm{.}42$ m$1)$x $+$

where

$=$

$4$

$.$

$($a$)$ What are the speed and acceleration of a point on the string that is at

x $=0$ m

and

t $=0\mathrm{.}300$ s$?$

$($Indicate the direction with the sign of your answer.$)$

vy $=$

You are asked to find the transverse speed or the rate at which an element of the string moves in the vertical direction. Review partial differentiation. m$/$s

ay $=$ m$/$s$2$

$($b$)$ Determine the maximum transverse speed and transverse acceleration of an point on the string.

vy$,$ max $=$ m$/$s

ay$,$ max $=$ m$/$s$2$