When an object is kept at a distance of $30\, cm$ from a concave mirror,the image is formed at a distance of $10\, cm$ from the mirror. If the object is moved with a speed of $9\, cm/s$,the speed (in $cm/s$) with which the image moves at that instant is:

$A$ point object is moving uniformly towards the pole of a concave mirror of focal length $25 \ cm$ along its axis as shown below. The speed of the object is $1 \ ms^{-1}$. At $t=0$,the distance of the object from the mirror is $50 \ cm$. The average velocity of the image formed by the mirror between time $t=0$ and $t=0.25 \ s$ is

An object is moving with a velocity of $2 \ m/s$ to the left,and a plane mirror is moving with a velocity of $9 \ m/s$ to the right. Find the velocity of the image with respect to the ground.

If an object moves towards a plane mirror with a speed $v$ at an angle $\theta$ to the normal of the plane of the mirror,find the relative velocity between the object and the image.

$A$ point object is moving on the principal axis of a concave mirror of focal length $24\;cm$,towards the mirror. When it is at a distance of $60\;cm$ from the mirror,its velocity is $9\;cm/sec$. What is the velocity of the image at that instant?

$A$ point object is kept in front of a plane mirror. The plane mirror is performing $SHM$ with an amplitude of $2 \ cm$. The plane mirror moves along the $x-$ axis,which is normal to the mirror. The amplitude of the mirror is such that the object is always in front of the mirror. The amplitude of the $SHM$ of the image is .... $cm$.