A train is traveling forward with velocity v. At the same - time, the sheriff ha

Question

A train is traveling forward with velocity v. At the same - time, the sheriff has just caught a bandit at the front of the train. He's about to shoot the bandit with a bullet that will have a velocity equal to that of the train. (You can ignore acceleration because of how quickly the bullet wil travel.) However, the sheriff stops to consider the physics. If he shoots, will the bullet hit the bandit or himself? How long does it take the bullet to travel the distance D? The sheriff believes that the bullet traveled distance D, but how far did it appear to travel to Bob who is sitting on his horse beside the train tracks?

Explanation / Answer

Ans 1 Both Sheriff and Bandit are on same train, so they are at rest relative to each other.

Hence when Sheriif shoots, it will hit the bandit.

Ans 2. Speed = Distance /Time

hene Time = Distance/ Speed = D/v

Ans 3.

For bob who is siiting on his horse beside the train tracks, the actual distance travelled by bullet will be =

D + distance travelled by train in time t

= D + v*t

D + D = 2D

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