Wavelength (in meters) and frequency (in hertz) of a wave whose displacement is and t is in seconds? 6) what are the given by the equation y 0.5 sin(0.20x+1201), where x and y are in mete a) 10 m, 0.50 hz b) 5.0 m, 10 hz c) 19 m, 120 hz d) 31 m, 19 hz e) 0.20 m, 120 2m hz arn

D) 31 m, 19 Hz

Explanation:

The equation of the wave in the problem is

In general, the equation of a travelling wave is written as

where

A is the amplitude

is the wave number, with being the wavelength of the wave

is the angular frequency and f is the frequency

By comparing the two equations, we see that for this wave:

So now we can use the two equations for k and to find the wavelength and the frequency of the wave:

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)