A transverse, harmonic and monochromatic $($single frequency$)$ wave is propagating along a string in the positive $x$ direction with speed $2\frac{m}{s}.$ The amplitude of the wave is $(0\mathrm{.}01m,$ its wavelength is $0\mathrm{.}3m$ and both ends of the string are free to vibrate.

At time $)$ the height of the string $($above the equilibrium position$)$ at point $x=0$ is $0,$ and the velocity of this point at $t=0$ is positive $|)=0,t=0>(0.$

What is the wave number $($in $m^{-1})?$

$k=$

What is the period of the wave $($in seconds$)?$

$T=$

What is the frequency of the wave $($in $s^{-1})?$

$f=$

What is the height of the string $($from the equilibrium position$)$ at point $x=0\mathrm{.}35m,$ at time $t=0\mathrm{.}4s?$