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A convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.2 m . an object is 4.4 m from the mirror.

Respuesta :

The question is missing, but I guess the problem is asking for the location of the image.

We can solve the problem by using the mirror equation:
[tex] \frac{1}{f}= \frac{1}{d_o}+ \frac{1}{d_i} [/tex]
where
f is the focal length of the mirror
[tex]d_o[/tex] is the distance of the object from the mirror
[tex]d_i[/tex] is the distance of the image from the mirror

For a convex mirror, the focal length is taken as negative, so in our problem 
f=-2.2 m
The distance the object is
[tex]d_o=4.4 m[/tex]

And if we use the previous equation, we can find the distance of the image from the mirror:
[tex] \frac{1}{d_i}= \frac{1}{f}- \frac{1}{d_o}= -\frac{1}{2.2 m} - \frac{1}{4.4 m} =- \frac{3}{4.4 m} [/tex]
from which we find
[tex]d_i = -\frac{4.4 m}{3}=-1,47 m [/tex]
where the negative sign means the image is virtual (located behind the mirror)
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