A wave on a string can be represented by the equation:

y$($z$,$t$)=$Acos$($kz$+$t$)$

Where: A $=0\mathrm{.}045$ m$,$ k $=7$ m$-1,$ and $=3$ s$-1.$

$1)$

What is the speed of the propagation of the wave?

$156$ m$/$s

$0\mathrm{.}00643$ m$/$s

$66\mathrm{.}7$ m$/$s

$0\mathrm{.}015$ m$/$s

$0\mathrm{.}429$ m$/$s

$2\mathrm{.}33$ m$/$s

$2)$

What is the direction of propagation of the wave?

$+$x

$-$x

$+$y

$-$y

$+$z

$-$z

Submit

$3)$

What is the amplitude of the wave?

$3$ m

$7$ m

$0\mathrm{.}00643$ m

$0\mathrm{.}015$ m

$0\mathrm{.}045$ m

Submit

$4)$

In what direction does any small piece of the string move?

the x$-$direction

the y$-$direction

the z$-$direction

Submit

$5)$

What is the maximum speed of any small piece of the string?

$0\mathrm{.}045$ m$/$s

$0\mathrm{.}135$ m$/$s

$0\mathrm{.}015$ m$/$s

$0\mathrm{.}00643$ m$/$s

$0\mathrm{.}315$ m$/$s