Question

Robert, standing at the rear end of a railroad car of length 100m, shoots an arrow toward the front end of the car. He measures the velocity of the arrow as 0.30c. Jenny, who was standing on the platform, saw all of this as the train passed her with a velocity of 0.75c. Determine the following as observed by Jenny…

a.    The length of the car (in m)?

b. The velocity of the arrow?

c. The time, in μs, taken by the arrow to reach the end of the car from when it was shot?

d. The distance, in meters, the arrow covered from when it was shot until it hit the end of the car?  

e. What is the space-time interval as measured in Robert’s frame?

f. What is the space-time interval as measured in Jenny’s frame?

Answer 1

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