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Question
The rear view mirror of a car is a plane mirror. A driver is reversing his car at a speed of 2 m/s. The driver sees in his rear view mirror the image of a truck parked behind his car. The speed at which the image of the truck appears to approach the driver will be ________________.
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Solution
The correct option is C 4 m/s
Since the object and its image always remain at the same distance from the mirror, therefore, when the car is reversed at a speed of 2 m/s, its image also appears to move towards the mirror at the same speed, i.e., 2 m/s. Hence, the speed at which the image of the truck will appear to approach the car will be 2 m/s + 2 m/s = 4 m/s.
Since the object and its image always remain at the same distance from the mirror, therefore, when the car is reversed at a speed of 2 m/s, its image also appears to move towards the mirror at the same speed, i.e., 2 m/s. Hence, the speed at which the image of the truck will appear to approach the car will be 2 m/s + 2 m/s = 4 m/s.
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