Question

A wave is described by y = (2.05 cm) sin(kx - t), where k = 2.13 rad/m, = 3.58 rad/s, x is in meters, and t is in seconds, how do you determine the amplitude, wavelength, frequency, and speed of the wave?

Answer 1

I think there is something missing...
Try this:

Explanation:

I may be wrong but I think there is a bit missing from your wave:
`y=(2.05cm)sin(kx-color(red)(omega)t)`
Where `omega=3.58(rad)/s`

The amplitude is the number in front of `sin` so: `A=2.05cm=0.0205m`
You get the wavelength `lambda` from `k` as: `k=(2pi)/lambda` so `lambda=2.95m`;
Frequency is found from `omega=(2pi)/T=2pinu` where `T` is the period and `nu` is the frequency; so `nu=0.57s^(-1)=0.57Hz`;
Finally, speed will be `v=`distance/time`=lambda/T=lamdanu=1.7m/s`