David stands 2.5 meters in front of a plane mirror. A) How far from David is Dav

Question

David stands 2.5 meters in front of a plane mirror.
A) How far from David is David’s image in the mirror?
B)If David moves away from the mirror at 1.5 m/s, how fast are David and his image moving apart from each other?
C) If David is 180cn tall, how tall is his image in the mirror?
Please explain David stands 2.5 meters in front of a plane mirror.
A) How far from David is David’s image in the mirror?
B)If David moves away from the mirror at 1.5 m/s, how fast are David and his image moving apart from each other?
C) If David is 180cn tall, how tall is his image in the mirror?
Please explain
A) How far from David is David’s image in the mirror?
B)If David moves away from the mirror at 1.5 m/s, how fast are David and his image moving apart from each other?
C) If David is 180cn tall, how tall is his image in the mirror?
Please explain

Explanation / Answer

David stands at 2.5 m infront of a plane mirrror

A )

the image distanceof the David in the mirror is  

we know that the relation between object distance and image distance for plane mirror is  

s = -s'

s object distance , s' is image distance -ve sign is virtual image

so the David image will be formed at 2.5 m behind the mirror

B)

if David moves away from the mirror at 1.5 m/s,

the image will also moves away from each other.

C)

we know that linear magnification is m = -s'/s

for plane mirror , s = -s' so m = -(-s')/s = s'/s = 1

so if the Davis is 180 cm tall then the image also same size 180 cm

because m = 1

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