Moving Plane Mirror, Stationary Object

Q. A plane mirror is placed at origin parallel of y- axis, facing the positive x–axis. An object starts from (2m, 0, 0) with a velocity of $(2\hat{i}+2\hat{j}$), relative velocity of image with respect to object is along

1. Negative x-axis
2. Positive y-axis
3. Negative y-axis
4. Positive x – axis

Q.

A plane mirror is approaching you at a speed of you can see your image in it. At what speed will your image approach you

1. 
   

2. 
3. 
4. 

Q. An object is moving with a velocity of $2\hat{i}+3\hat{j}+6\hat{k}$. A plane mirror whose reflecting surface is parallel to $y-z$ plane is moving with a velocity of $\hat{i}+\hat{j}+\hat{k}$. What is the velocity of the image as seen by a stationary observer?

1. $\hat{j}+4\hat{k}$
2. $3\hat{j}+6\hat{k}$
3. $-\hat{j}-4\hat{k}$
4. $-\hat{i}+3\hat{j}+6\hat{k}$

Q. A plane mirror and a person are moving towards each other with same velocity v. Then the velocity of the image is

1. v
2. 2v
3. 3v
4. 4v

Q.
My cute puppy, Jenny, saw a mirror for the 1st time in its life. Thinking, of course, that it was another dog she was seeing, she started barking and running towards the mirror with a speed of 10 cm/s. Now, I started moving the mirror towards Jenny with a speed of 5 cm/s, just to mess with her. How fast will Jenny see 'the other dog' (her image) running? (The mirror is a plane mirror. Also, assume Jenny to be a point object, she's tiny, and far from the mirror, so not a bad assumption!)

1. $30\frac{cm}{s}$, towards her.
2. $30\frac{cm}{s}$, away from her.
3. $20\frac{cm}{s}$, towards her
4. $20\frac{cm}{s}$, away from her.

Q. A man is approaching a plane mirror with constant acceleration of 4 $m/s^2$. Initially the person is at rest. Mirror is moving towards the person with a constant velocity of 4 m/s. The correct variation of velocity of image of man (wrt ground) vs time is best given by consider leftwards as positive)

1. 
2. 
3. 
4. 

Q. Calculate the velocity of the image with respect to a stationary observer in the following situation (Object moving at an angle with mirror and mirror moving at an angle with object).

1. $5\sqrt{11}m/s$
2. $5\sqrt{5}m/s$
3. $5\sqrt{26}m/s$
4. $5\sqrt{33}m/s$

Q. A point object is kept near a plane mirror. The mirror starts moving away from the object with a speed of $4cm/s$. The velocity of the image is

1. $8cm/s,towardstheobject$
2. $8cm/s,awayfromtheobject$
3. $4cm/s,towardstheobject$
4. $4cm/s,awayfromtheobject$

Q. The object and image velocities are always equal in magnitude but in opposite direction.

1. True
2. False

Q. The object is stationary and the plane mirror has a velocity of $2\hat{i}$. If the mirror is along the y axis, then the velocity of image is .

1. $2\hat{i}$
2. $4\hat{i}$
3. $6\hat{i}$
4. Null vector