Solution: Click For PDF Version Relation
between the object distance, o, image distance,
,
and the radius of curvature, r,
for a spherical mirror is given by the equation
,
where we use the sign
convention of Halliday Resnick and Krane.
We note from the spherical
mirror equation that

Therefore,
the speed of the image,
,
is the time derivative of the image distance
.
We thus find

(a)
We are given
that
,
and
.
If the object
is far outside the focal point
,

(b)
If the object
is close to the focal point


(c)
If the object
is very close to the mirror
,

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