A person is riding on the roof of a freight-train car and fires a gun pointed fo

Question

A person is riding on the roof of a freight-train car and fires a gun pointed forward. The muzzle velocity of the gun is 200 m/s. The train's velocity is 30 m/s.
a) What is the velocity of the bullet relative to the ground when the train is at rest compared to when the train is moving?
b)What is the velocity of the bullet relative to the freight car when the train is at rest compared to when it is moving?
c) Now suppose instead the person riding on top of the freight car shines a searchlight beam in the direction in which the train is traveling (c=3x 108 m/s). Does the light travel faster along the ground than it would if the person had shone it while standing at rest on the ground? Explain.

Explanation / Answer

a)velocity of the bullet relative to the ground when the train is at rest=200 m/s velocity of the bullet relative to the ground when the train is moving=230 m/s b)velocity of the bullet relative to the freight car when the train is at rest= 200m/s velocity of the bullet relative to the freight car when the train is moving=200m/s c)no both the velocities are same and is due to einstein theory of relativity

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