Question

The wavelength,w.of a wave of a certain frequency varies directly as the velocity. v, of the wave. W = 60 ft when v= 15 ft/s. Find w when v = 3 ft/s.

Answer 1

EXPLANATION

First we need to find the direct variation function:

`w=k\cdot\\u`

Then we need to use the given information λ=60 v=15 and write the equation:

`60=k\cdot15`

Dividing both sides by 15:

`(60)/(15)=k`

Simplifying:

`4=k`

So, the function is:

`w=4\cdot\\u`

Now, we use this function to find w when v=3:

`w=4\cdot3=12ft`

The wavelength is 12ft