An image of an object approaching a convex mirror of radius of curvature $20 \ m$ along its optical axis is observed to move from $\frac{25}{3} \ m$ to $\frac{50}{7} \ m$ in $30 \ s$. What is the speed of the object in $km/h$?

$A$ 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 .... $cm$.

If an observer is moving away from a stationary plane mirror at a speed of $6 \, m/s$,then the speed of the image with respect to the observer is ..... $m/s$.

Car $B$ overtakes another car $A$ at a relative speed of $40 \, ms^{-1}$. How fast will the image of car $B$ appear to move in the mirror of focal length $10 \, cm$ fitted in car $A$,when the car $B$ is $1.9 \, m$ away from the car $A$? (In $ms^{-1}$)

$A$ 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

$A$ car is fitted with a convex side-view mirror of focal length $20\ cm$. $A$ second car $2.8\ m$ behind the first car is overtaking the first car at a relative speed of $15\ m/s$. The speed of the image of the second car as seen in the mirror of the first one is