A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is $0\mathrm{.}0985$ m $,$ its frequency is $2\mathrm{.}61$ Hz $,$ and its wavelength is $1\mathrm{.}79$ m $.$

What is the shortest transverse distance $d$ between a maximum and a minimum of the wave?

$d=,m$

How much time $t$ is required for $68\mathrm{.}3$ cycles of the wave to pass a stationary observer?

$t=$

$$

s

Viewing the whole wave at any instant, how many cycles $N$ are there in a $38\mathrm{.}5$ m length of string?

$N=$

cycles