When a man moves toward a plane mirror at a speed of 6m/s, the distance the man and his image increased at a speed of?
A
2 m/s
B
4 m/s
C
12 m/s
D
14 m/s
Verified Correct Answer: C.
Physical Principles & Numerical Solution
Given: Speed of the man (v) = 6 m/s
Distance Calculation:
Distance to the Mirror: As the man moves toward the mirror, the distance between him and the mirror decreases by 6 m/s.
Distance to the Image: The image moves toward the man at the same speed (6 m/s).
Total Change in Distance:
The total distance between the man and his image decreases at the rate of:
Rate of distance change = v + v = 6 m/s + 6 m/s = 12 m/s
Conclusion: The distance between the man and his image increases at a speed of 12 meters per second.
Source: Myschool Past Questions Archive (Record #41329)