Answer:
(a).The value of s is ± 90.
(b). The positive value of s makes sense.
(c). The amount of airborne particulate pollution p is zero.
Step-by-step explanation:
Given that,
The amount of airborne particulate pollution = p
Wind speed = s
The relation between p and s approximated by
[tex]p=81-0.01s^2[/tex]
(a). If p = 0,
We need to calculate the value of s
Using given relation
[tex]p=81-0.01s^2[/tex]
[tex]s^2=\dfrac{81}{0.01}[/tex]
[tex]s=\sqrt{\dfrac{81}{0.01}}[/tex]
[tex]s=90[/tex]
The value of s is ± 90.
(b). We know, the speed is not in negative.
So, Only positive value of s makes sense because wind speed can not be negative.
(c). p = 0, it means
If the wind speed 90 then The amount of airborne particulate pollution p is zero.
Hence, (a).The value of s is ± 90.
(b). The positive value of s makes sense.
(c). The amount of airborne particulate pollution p is zero.