Question

The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated byp = 64 − 0.01s2.Find the value(s) of s that will make p = 0.

Answer 1

The value of s that will make p = 0 is 80.

Explanation:

The equation used to describe the relationship between amount of airborne particulate pollution from a power plant and wind speed is:

`p=64 -0.01s^(2)`

Compute the value(s) of s for which the value of p = 0 as follows:

`p=64 -0.01s^(2)\\0=64 -0.01s^(2)\\0.01s^(2)=64\\s^(2)=(64)/(0.01)\\ s^(2)=6400\\s=√(6400)\\s=\pm 80`

Since wind cannot travel in negative speed, the value of s is 80.