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A man is going away from the plane mirror with velocity of 3m/s with what velocity is he going away from his image in the mirror ?
x’ = -x, where x is position of observer and x’ is position of the image.With mirror at 0.So, if dx/dt = 3 m/s, dx’/dt = -dx/dt = - 3m/s.using the classical formula for relative speed,Vrel = dx’/dt - dx/dt = -2dx/dt = -6 m/s.So, the image is approaching the observer at 6 m/s.
x’ = -x, where x is position of observer and x’ is position of the image.
With mirror at 0.
So, if dx/dt = 3 m/s, dx’/dt = -dx/dt = - 3m/s.
using the classical formula for relative speed,
Vrel = dx’/dt - dx/dt = -2dx/dt = -6 m/s.
So, the image is approaching the observer at 6 m/s.
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