The image is at 2.5 m behind the mirror (virtual image)
Explanation:
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 between the object and the mirror
[tex]d_i[/tex] is the distance between the image and the mirror
For a plane mirror, the focal length is infinite:
[tex]f=\infty[/tex]
And in this problem, the distance of the object from the mirror is
[tex]d_o = 2.5 m[/tex]
Substituting and solving for [tex]d_i[/tex], we find the location of the image:
[tex]0=\frac{1}{d_o}+\frac{1}{d_i}\\d_i = -d_o = -2.5 m[/tex]
And the negative sign means that the image is located behind the mirror, so it is virtual.
Learn more about reflection and refraction:
brainly.com/question/3183125
brainly.com/question/12370040
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